发布求助
文献互助 智能选刊 最新文献

Journal of Symplectic Geometry最新文献

筛选
英文 中文
Distributions associated to almost complex structures on symplectic manifolds 辛流形上与几乎复杂结构相关的分布
IF 0.7 3区 数学
Journal of Symplectic Geometry Pub Date : 2020-02-06 DOI: 10.4310/jsg.2021.v19.n5.a2
M. Cahen, Maxime G'erard, S. Gutt, Manar Hayyani
{"title":"Distributions associated to almost complex structures on symplectic manifolds","authors":"M. Cahen, Maxime G'erard, S. Gutt, Manar Hayyani","doi":"10.4310/jsg.2021.v19.n5.a2","DOIUrl":"https://doi.org/10.4310/jsg.2021.v19.n5.a2","url":null,"abstract":"We look at methods to select triples $(M,omega,J)$ consisting of a symplectic manifold $(M,omega)$ endowed with a compatible positive almost complex structure $J$, in terms of the Nijenhuis tensor $N^J$ associated to $J$. We study in particular the image distribution $Image N^J$.","PeriodicalId":50029,"journal":{"name":"Journal of Symplectic Geometry","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2020-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87326406","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
$mathrm{K}$-theoretic invariants of Hamiltonian fibrations $ mathm {K}$哈密顿振动的理论不变量
IF 0.7 3区 数学
Journal of Symplectic Geometry Pub Date : 2020-01-01 DOI: 10.4310/jsg.2020.v18.n1.a7
Y. Savelyev, E. Shelukhin
{"title":"$mathrm{K}$-theoretic invariants of Hamiltonian fibrations","authors":"Y. Savelyev, E. Shelukhin","doi":"10.4310/jsg.2020.v18.n1.a7","DOIUrl":"https://doi.org/10.4310/jsg.2020.v18.n1.a7","url":null,"abstract":"","PeriodicalId":50029,"journal":{"name":"Journal of Symplectic Geometry","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81271552","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Positive loops of loose Legendrian embeddings and applications 松散Legendrian嵌入的正回路及其应用
IF 0.7 3区 数学
Journal of Symplectic Geometry Pub Date : 2020-01-01 DOI: 10.4310/JSG.2020.V18.N3.A9
Guogang Liu
{"title":"Positive loops of loose Legendrian embeddings and applications","authors":"Guogang Liu","doi":"10.4310/JSG.2020.V18.N3.A9","DOIUrl":"https://doi.org/10.4310/JSG.2020.V18.N3.A9","url":null,"abstract":"In this paper, we prove that there exist contractible positive loops of Legendrian embeddings based at any loose Legendrian submanifold. As an application, we define a partial order on Cont0(M, ξ), called strong orderability, and prove that overtwisted contact manifolds are not strongly orderable.","PeriodicalId":50029,"journal":{"name":"Journal of Symplectic Geometry","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84042817","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
Augmentations are sheaves for Legendrian graphs 增广是勒让图的束
IF 0.7 3区 数学
Journal of Symplectic Geometry Pub Date : 2019-12-23 DOI: 10.4310/jsg.2022.v20.n2.a1
B. An, Youngjin Bae, Tao Su
{"title":"Augmentations are sheaves for Legendrian graphs","authors":"B. An, Youngjin Bae, Tao Su","doi":"10.4310/jsg.2022.v20.n2.a1","DOIUrl":"https://doi.org/10.4310/jsg.2022.v20.n2.a1","url":null,"abstract":"In this article, associated to a (bordered) Legendrian graph, we study and show the equivalence between two categorical Legendrian isotopy invariants: the augmentation category, a unital $A_{infty}$-category, which lifts the set of augmentations of the associated Chekanov-Eliashberg DGA, and a DG category of constructible sheaves on the front plane, with micro-support at contact infinity controlled by the (bordered) Legendrian graph. In other words, generalizing [21], we prove \"augmentations are sheaves\" in the singular case.","PeriodicalId":50029,"journal":{"name":"Journal of Symplectic Geometry","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2019-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81450369","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
Formally integrable complex structures on higher dimensional knot spaces 高维结空间上形式可积的复结构
IF 0.7 3区 数学
Journal of Symplectic Geometry Pub Date : 2019-12-11 DOI: 10.4310/jsg.2021.v19.n3.a1
D. Fiorenza, H. Lê
{"title":"Formally integrable complex structures on higher dimensional knot spaces","authors":"D. Fiorenza, H. Lê","doi":"10.4310/jsg.2021.v19.n3.a1","DOIUrl":"https://doi.org/10.4310/jsg.2021.v19.n3.a1","url":null,"abstract":"Let $S$ be a compact oriented finite dimensional manifold and $M$ a finite dimensional Riemannian manifold, let ${rm Imm}_f(S,M)$ the space of all free immersions $varphi:S to M$ and let $B^+_{i,f}(S,M)$ the quotient space ${rm Imm}_f(S,M)/{rm Diff}^+(S)$, where ${rm Diff}^+(S)$ denotes the group of orientation preserving diffeomorphisms of $S$. In this paper we prove that if $M$ admits a parallel $r$-fold vector cross product $varphi in Omega ^r(M, TM)$ and $dim S = r-1$ then $B^+_{i,f}(S,M)$ is a formally Kahler manifold. This generalizes Brylinski's, LeBrun's and Verbitsky's results for the case that $S$ is a codimension 2 submanifold in $M$, and $S = S^1$ or $M$ is a torsion-free $G_2$-manifold respectively.","PeriodicalId":50029,"journal":{"name":"Journal of Symplectic Geometry","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2019-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81125883","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Fiber Floer cohomology and conormal stops 纤维花的上同性和法向停止
IF 0.7 3区 数学
Journal of Symplectic Geometry Pub Date : 2019-12-05 DOI: 10.4310/JSG.2021.v19.n4.a1
J. Asplund
{"title":"Fiber Floer cohomology and conormal stops","authors":"J. Asplund","doi":"10.4310/JSG.2021.v19.n4.a1","DOIUrl":"https://doi.org/10.4310/JSG.2021.v19.n4.a1","url":null,"abstract":"Let S be a closed orientable spin manifold. Let K⊂S be a submanifold and denote its complement by MK. In this paper we prove that there exists an isomorphism between partially wrapped Floer cochain ...","PeriodicalId":50029,"journal":{"name":"Journal of Symplectic Geometry","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2019-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75539656","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
Ruling invariants for Legendrian graphs 勒让图的统治不变量
IF 0.7 3区 数学
Journal of Symplectic Geometry Pub Date : 2019-11-20 DOI: 10.4310/jsg.2022.v20.n1.a2
B. An, Youngjin Bae, Tam'as K'alm'an
{"title":"Ruling invariants for Legendrian graphs","authors":"B. An, Youngjin Bae, Tam'as K'alm'an","doi":"10.4310/jsg.2022.v20.n1.a2","DOIUrl":"https://doi.org/10.4310/jsg.2022.v20.n1.a2","url":null,"abstract":"We define ruling invariants for even-valence Legendrian graphs in standard contact three-space. We prove that rulings exist if and only if the DGA of the graph, introduced by the first two authors, has an augmentation. We set up the usual ruling polynomials for various notions of gradedness and prove that if the graph is four-valent, then the ungraded ruling polynomial appears in Kauffman-Vogel's graph version of the Kauffman polynomial. Our ruling invariants are compatible with certain vertex-identifying operations as well as vertical cuts and gluings of front diagrams. We also show that Leverson's definition of a ruling of a Legendrian link in a connected sum of $S^1 times S^2$'s can be seen as a special case of ours.","PeriodicalId":50029,"journal":{"name":"Journal of Symplectic Geometry","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2019-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74565886","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Lagrangian torus invariants using $ECH = SWF$ 使用$ECH = SWF$的拉格朗日环面不变量
IF 0.7 3区 数学
Journal of Symplectic Geometry Pub Date : 2019-10-08 DOI: 10.4310/jsg.2021.v19.n4.a3
Chris Gerig
{"title":"Lagrangian torus invariants using $ECH = SWF$","authors":"Chris Gerig","doi":"10.4310/jsg.2021.v19.n4.a3","DOIUrl":"https://doi.org/10.4310/jsg.2021.v19.n4.a3","url":null,"abstract":"We construct distinguished elements in the embedded contact homology (and monopole Floer homology) of a 3-torus, associated with Lagrangian tori in symplectic 4-manifolds and their isotopy classes. They turn out not to be new invariants, instead they repackage the Gromov (and Seiberg-Witten) invariants of various torus surgeries. We then recover a result of Morgan-Mrowka-Szabo on product formulas for the Seiberg-Witten invariants along 3-tori.","PeriodicalId":50029,"journal":{"name":"Journal of Symplectic Geometry","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2019-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85728010","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The geometric quantizations and the measured Gromov–Hausdorff convergences 几何量化和测量的Gromov-Hausdorff收敛
IF 0.7 3区 数学
Journal of Symplectic Geometry Pub Date : 2019-09-15 DOI: 10.4310/JSG.2020.V18.N6.A3
Kota Hattori
{"title":"The geometric quantizations and the measured Gromov–Hausdorff convergences","authors":"Kota Hattori","doi":"10.4310/JSG.2020.V18.N6.A3","DOIUrl":"https://doi.org/10.4310/JSG.2020.V18.N6.A3","url":null,"abstract":"On a compact symplectic manifold $(X,omega)$ with a prequantum line bundle $(L,nabla,h)$, we consider the one-parameter family of $omega$-compatible complex structures which converges to the real polarization coming from the Lagrangian torus fibration. There are several researches which show that the holomorphic sections of the line bundle localize at Bohr-Sommerfeld fibers. In this article we consider the one-parameter family of the Riemannian metrics on the frame bundle of $L$ determined by the complex structures and $nabla,h$, and we can see that their diameters diverge. If we fix a base point in some fibers of the Lagrangian fibration we can show that they measured Gromov-Hausdorff converge to some pointed metric measure spaces with the isometric $S^1$-actions, which may depend on the choice of the base point. We observe that the properties of the $S^1$-actions on the limit spaces actually depend on whether the base point is in the Bohr-Sommerfeld fibers or not.","PeriodicalId":50029,"journal":{"name":"Journal of Symplectic Geometry","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2019-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72550940","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Local Poisson groupoids over mixed product Poisson structures and generalised double Bruhat cells 混合积泊松结构和广义双Bruhat细胞上的局部泊松群
IF 0.7 3区 数学
Journal of Symplectic Geometry Pub Date : 2019-08-12 DOI: 10.4310/jsg.2021.v19.n4.a4
Victor Mouquin
{"title":"Local Poisson groupoids over mixed product Poisson structures and generalised double Bruhat cells","authors":"Victor Mouquin","doi":"10.4310/jsg.2021.v19.n4.a4","DOIUrl":"https://doi.org/10.4310/jsg.2021.v19.n4.a4","url":null,"abstract":"Given a standard complex semisimple Poisson Lie group $(G, pi_{st})$, generalised double Bruhat cells $G^{u, v}$ and generalised Bruhat cells $O^u$ equipped with naturally defined holomorphic Poisson structures, where u, v are finite sequences of Weyl group elements, were defined and studied by Jiang Hua Lu and the author. We prove in this paper that $G^{u,u}$ is naturally a Poisson groupoid over $O^u$, extending a result from the aforementioned authors about double Bruhat cells in $(G, pi_{st})$. Our result on $G^{u,u}$ is obtained as an application of a construction interesting in its own right, of a local Poisson groupoid over a mixed product Poisson structure associated to the action of a pair of Lie bialgebras. This construction involves using a local Lagrangian bisection in a double symplectic groupoid closely related to the global R-matrix studied by Weinstein and Xu, to twist a direct product of Poisson groupoids.","PeriodicalId":50029,"journal":{"name":"Journal of Symplectic Geometry","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2019-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84296855","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信