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Proceedings of Symposia in Pure Mathematics最新文献

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Introduction to a provisional mathematical definition of Coulomb branches of 3-dimesional 𝒩=4 介绍三维函数的库仑分支的临时数学定义
Proceedings of Symposia in Pure Mathematics Pub Date : 2018-09-05 DOI: 10.1090/pspum/099/07
H. Nakajima
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引用次数: 0
Descendants for stable pairs on 3-folds 三叠稳定对的后代
Proceedings of Symposia in Pure Mathematics Pub Date : 2018-09-05 DOI: 10.1090/pspum/099/09
R. Pandharipande
{"title":"Descendants for stable pairs on\u0000 3-folds","authors":"R. Pandharipande","doi":"10.1090/pspum/099/09","DOIUrl":"https://doi.org/10.1090/pspum/099/09","url":null,"abstract":"","PeriodicalId":384712,"journal":{"name":"Proceedings of Symposia in Pure\n Mathematics","volume":"523 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115629420","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Toward an algebraic Donaldson-Floer theory 论代数Donaldson-Floer理论
Proceedings of Symposia in Pure Mathematics Pub Date : 2018-09-05 DOI: 10.1090/PSPUM/099/01740
Jun Li
{"title":"Toward an algebraic Donaldson-Floer\u0000 theory","authors":"Jun Li","doi":"10.1090/PSPUM/099/01740","DOIUrl":"https://doi.org/10.1090/PSPUM/099/01740","url":null,"abstract":"","PeriodicalId":384712,"journal":{"name":"Proceedings of Symposia in Pure\n Mathematics","volume":"98 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122599543","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Atiyah-Floer conjecture: A formulation, a strategy of proof and generalizations 阿蒂亚-弗洛尔猜想:一种公式化，一种证明和推广的策略
Proceedings of Symposia in Pure Mathematics Pub Date : 2018-09-05 DOI: 10.1090/PSPUM/099/01736
A. Daemi, K. Fukaya
{"title":"Atiyah-Floer conjecture: A formulation, a\u0000 strategy of proof and generalizations","authors":"A. Daemi, K. Fukaya","doi":"10.1090/PSPUM/099/01736","DOIUrl":"https://doi.org/10.1090/PSPUM/099/01736","url":null,"abstract":"Around 1988, Floer introduced two important theories: instanton Floer homology as invariants of 3-manifolds and Lagrangian Floer homology as invariants of pairs of Lagrangians in symplectic manifolds. Soon after that, Atiyah conjectured that the two theories should be related to each other and Lagrangian Floer homology of certain Lagrangians in the moduli space of flat connections on Riemann surfaces should recover instanton Floer homology. However, the space of flat connections on a Riemann surface is singular and the first step to address this conjecture is to make sense of Lagrangian Floer homology on this space. In this note, we formulate a possible approach to resolve this issue. A strategy to construct the desired isomorphism in the Atiyah-Floer conjecture is also sketched. We also use the language of A∞categories to state generalizations of the Atiyah-Floer conjecture.","PeriodicalId":384712,"journal":{"name":"Proceedings of Symposia in Pure\n Mathematics","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131451561","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 20
Modern Geometry 现代几何
Proceedings of Symposia in Pure Mathematics Pub Date : 2018-09-05 DOI: 10.1090/pspum/099
V. Muñoz, I. Smith, Richard P. Thomas
{"title":"Modern Geometry","authors":"V. Muñoz, I. Smith, Richard P. Thomas","doi":"10.1090/pspum/099","DOIUrl":"https://doi.org/10.1090/pspum/099","url":null,"abstract":"This is a one-year graduate-level introduction to modern geometry, what follows is a highly tentative syllabus. We'll see how much of this there is actually time for. For the first part of the course, two textbooks that cover this material at a similar level are:","PeriodicalId":384712,"journal":{"name":"Proceedings of Symposia in Pure\n Mathematics","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121623154","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 153
Problems, questions, and conjectures about mapping class groups 关于映射类组的问题、疑问和猜想
Proceedings of Symposia in Pure Mathematics Pub Date : 2018-06-22 DOI: 10.1090/pspum/102/12
D. Margalit
{"title":"Problems, questions, and conjectures about\u0000 mapping class groups","authors":"D. Margalit","doi":"10.1090/pspum/102/12","DOIUrl":"https://doi.org/10.1090/pspum/102/12","url":null,"abstract":"We discuss a number of open problems about mapping class groups of surfaces. In particular, we discuss problems related to linearity, congruence subgroups, cohomology, pseudo-Anosov stretch factors, Torelli subgroups, and normal subgroups.","PeriodicalId":384712,"journal":{"name":"Proceedings of Symposia in Pure\n Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130696357","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 19
Three-dimensional 𝒩=4 gauge theories in omega background 三维ω背景下的4规范理论
Proceedings of Symposia in Pure Mathematics Pub Date : 2018-06-06 DOI: 10.1090/pspum/098/01
Mathew Bullimore
{"title":"Three-dimensional 𝒩=4 gauge theories in omega\u0000 background","authors":"Mathew Bullimore","doi":"10.1090/pspum/098/01","DOIUrl":"https://doi.org/10.1090/pspum/098/01","url":null,"abstract":"","PeriodicalId":384712,"journal":{"name":"Proceedings of Symposia in Pure\n Mathematics","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127116832","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
String-Math 2016 String-Math 2016
Proceedings of Symposia in Pure Mathematics Pub Date : 2018-06-06 DOI: 10.1090/pspum/098
A. Kashani-Poor, R. Minasian, N. Nekrasov, B. Pioline
{"title":"String-Math 2016","authors":"A. Kashani-Poor, R. Minasian, N. Nekrasov, B. Pioline","doi":"10.1090/pspum/098","DOIUrl":"https://doi.org/10.1090/pspum/098","url":null,"abstract":"","PeriodicalId":384712,"journal":{"name":"Proceedings of Symposia in Pure\n Mathematics","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126040034","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Inequivalent Lefschetz fibrations on rational and ruled surfaces 有理曲面和直纹曲面上的不等价Lefschetz振动
Proceedings of Symposia in Pure Mathematics Pub Date : 2018-06-01 DOI: 10.1090/pspum/102/02
R. Baykur
{"title":"Inequivalent Lefschetz fibrations on rational\u0000 and ruled surfaces","authors":"R. Baykur","doi":"10.1090/pspum/102/02","DOIUrl":"https://doi.org/10.1090/pspum/102/02","url":null,"abstract":"In this short note, we give an explicit construction of inequivalent Lefschetz pencils and fibrations of same genera on blow-ups of all rational and ruled surfaces. This complements our earlier results, concluding that every symplectic 4-manifold, after sufficiently many blow-ups, admits inequivalent Lefschetz pencils and fibrations, which cannot be obtained from one another even via any sequence of fibered Luttinger surgeries.","PeriodicalId":384712,"journal":{"name":"Proceedings of Symposia in Pure\n Mathematics","volume":"92 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115996211","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Three-dimensional cN=4 gauge theories in omega background 欧米茄背景下的三维cN=4规范理论
Proceedings of Symposia in Pure Mathematics Pub Date : 2018-06-01 DOI: 10.1090/PSPUM/098/01729
Mathew Bullimore
{"title":"Three-dimensional cN=4 gauge theories in\u0000 omega background","authors":"Mathew Bullimore","doi":"10.1090/PSPUM/098/01729","DOIUrl":"https://doi.org/10.1090/PSPUM/098/01729","url":null,"abstract":"We review the description of three-dimensional gauge theories with N = 4 supersymmetry in the presence of an omega background as an N = 4 supersymmetric quantum mechanics. We will focus throughout on a simple abelian example. The Hilbert space of supersymmetric ground states is populated by generalized vortex congurations, while half-BPS monopole operators act on the Hilbert space by creating and annihilating vortices, furnishing it with the structure of a Verma module for the quantized Coulomb branch chiral ring. Furthermore, by introducing two-dimensional N = (2; 2) boundary conditions, we nd a nite version of the AGT correspondence between vortex partition functions and overlaps of Whittaker vectors for quantized Coulomb branch chiral rings.","PeriodicalId":384712,"journal":{"name":"Proceedings of Symposia in Pure\n Mathematics","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122293584","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","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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