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Selective symplectic homology with applications to contact non-squeezing 选择性辛同调及其在接触非挤压中的应用
1区 数学
Compositio Mathematica Pub Date : 2023-09-18 DOI: 10.1112/s0010437x23007480
Igor Uljarević
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引用次数: 6
COM volume 159 issue 10 Cover and Back matter COM第159卷第10期封面和封底
IF 1.8 1区 数学
Compositio Mathematica Pub Date : 2023-09-07 DOI: 10.1112/s0010437x22008132
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引用次数: 0
COM volume 159 issue 10 Cover and Front matter COM第159卷第10期封面和封面
IF 1.8 1区 数学
Compositio Mathematica Pub Date : 2023-09-07 DOI: 10.1112/s0010437x22008120
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引用次数: 0
COM volume 159 issue 9 Cover and Back matter COM第159卷第9期封面和封底
IF 1.8 1区 数学
Compositio Mathematica Pub Date : 2023-08-25 DOI: 10.1112/s0010437x22008119
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引用次数: 0
COM volume 159 issue 9 Cover and Front matter COM第159卷第9期封面和封面
IF 1.8 1区 数学
Compositio Mathematica Pub Date : 2023-08-25 DOI: 10.1112/s0010437x22008107
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引用次数: 0
Connected components of affine Deligne–Lusztig varieties for unramified groups 未分枝基团仿射delign - lusztig变异的连通分量
IF 1.8 1区 数学
Compositio Mathematica Pub Date : 2023-08-17 DOI: 10.1112/S0010437X23007339
S. Nie
{"title":"Connected components of affine Deligne–Lusztig varieties for unramified groups","authors":"S. Nie","doi":"10.1112/S0010437X23007339","DOIUrl":"https://doi.org/10.1112/S0010437X23007339","url":null,"abstract":"For an unramified reductive group, we determine the connected components of affine Deligne–Lusztig varieties in the affine flag variety. Based on work of Hamacher, Kim, and Zhou, this result allows us to verify, in the unramified group case, the He–Rapoport axioms, the almost product structure of Newton strata, and the precise description of isogeny classes predicted by the Langlands–Rapoport conjecture, for the Kisin–Pappas integral models of Shimura varieties of Hodge type with parahoric level structure.","PeriodicalId":55232,"journal":{"name":"Compositio Mathematica","volume":"159 1","pages":"2051 - 2088"},"PeriodicalIF":1.8,"publicationDate":"2023-08-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42989753","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
Obstruction theory and the level n elliptic genus 阻塞理论与n阶椭圆亏格
IF 1.8 1区 数学
Compositio Mathematica Pub Date : 2023-08-03 DOI: 10.1112/S0010437X23007406
Andrew Senger
{"title":"Obstruction theory and the level n elliptic genus","authors":"Andrew Senger","doi":"10.1112/S0010437X23007406","DOIUrl":"https://doi.org/10.1112/S0010437X23007406","url":null,"abstract":"Given a height at most two Landweber exact $mathbb {E}_infty$-ring $E$ whose homotopy is concentrated in even degrees, we show that any complex orientation of $E$ which satisfies the Ando criterion admits a unique lift to an $mathbb {E}_infty$-complex orientation $mathrm {MU} to E$. As a consequence, we give a short proof that the level $n$ elliptic genus lifts uniquely to an $mathbb {E}_infty$-complex orientation $mathrm {MU} to mathrm {tmf}_1 (n)$ for all $n, {geq}, 2$.","PeriodicalId":55232,"journal":{"name":"Compositio Mathematica","volume":"159 1","pages":"2000 - 2021"},"PeriodicalIF":1.8,"publicationDate":"2023-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47099002","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
Twisted GGP problems and conjectures 扭曲的GGP问题和猜想
IF 1.8 1区 数学
Compositio Mathematica Pub Date : 2023-07-31 DOI: 10.1112/S0010437X23007327
W. Gan, B. Gross, Dipendra Prasad
{"title":"Twisted GGP problems and conjectures","authors":"W. Gan, B. Gross, Dipendra Prasad","doi":"10.1112/S0010437X23007327","DOIUrl":"https://doi.org/10.1112/S0010437X23007327","url":null,"abstract":"In a series of three earlier papers, we considered a family of restriction problems for classical groups (over local and global fields) and proposed precise answers to these problems using the local and global Langlands correspondence. These restriction problems were formulated in terms of a pair $W subset V$ of orthogonal, Hermitian, symplectic, or skew-Hermitian spaces. In this paper, we consider a twisted variant of these conjectures in one particular case: that of a pair of skew-Hermitian spaces $W = V$.","PeriodicalId":55232,"journal":{"name":"Compositio Mathematica","volume":"159 1","pages":"1916 - 1973"},"PeriodicalIF":1.8,"publicationDate":"2023-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41318824","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
COM volume 159 issue 8 Cover and Back matter COM第159卷第8期封面和封底
IF 1.8 1区 数学
Compositio Mathematica Pub Date : 2023-07-26 DOI: 10.1112/s0010437x22008090
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引用次数: 0
COM volume 159 issue 8 Cover and Front matter COM第159卷第8期封面和封面
IF 1.8 1区 数学
Compositio Mathematica Pub Date : 2023-07-26 DOI: 10.1112/s0010437x22008089
{"title":"COM volume 159 issue 8 Cover and Front matter","authors":"","doi":"10.1112/s0010437x22008089","DOIUrl":"https://doi.org/10.1112/s0010437x22008089","url":null,"abstract":"","PeriodicalId":55232,"journal":{"name":"Compositio Mathematica","volume":" ","pages":"f1 - f3"},"PeriodicalIF":1.8,"publicationDate":"2023-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44281208","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
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