跳到内容
String topology and the based loop space 预览资料
关闭预览资料
正在查...

String topology and the based loop space

著者: Eric James MalmRalph L CohenG CarlssonSøren GalatiusSteve Kerckhoff所有著者
出版商: 2010.
论文: Ph. D. Stanford University 2010
版本/格式:   硕士/博士论文 : 文献 : 硕士论文/博士论文 : 电子图书   计算机文档 : 英语
提要:
We relate the Batalin-Vilkovisky (BV) algebra structure of the string topology of a manifold to the homological algebra of the singular chains of the based loop space of that manifold, showing that its Hochschild cohomology carries a BV algebra structure isomorphic to that of string topology. Furthermore, this structure is compatible with the usual cup product and Lie bracket on Hochschild cohomology. This  再读一些...
评估:

(尚未评估) 0 附有评论 - 争取成为第一个。

 

在线查找

与资料的链接

在图书馆查找

&AllPage.SpinnerRetrieving; 正在查找有这资料的图书馆...

详细书目

材料类型: 文献, 硕士论文/博士论文, 互联网资源
文档类型 互联网资源, 计算机文档
所有的著者/提供者: Eric James Malm; Ralph L Cohen; G Carlsson; Søren Galatius; Steve Kerckhoff; Stanford University. Department of Mathematics.
OCLC号码: 665049539
注释: Submitted to the Department of Mathematics.
描述: 1 online resource
责任: Eric James Malm.

摘要:

We relate the Batalin-Vilkovisky (BV) algebra structure of the string topology of a manifold to the homological algebra of the singular chains of the based loop space of that manifold, showing that its Hochschild cohomology carries a BV algebra structure isomorphic to that of string topology. Furthermore, this structure is compatible with the usual cup product and Lie bracket on Hochschild cohomology. This isomorphism arises from a derived form of Poincare duality using modules over the based loop space as local coefficient systems. This derived Poincare duality also comes from a form of fibrewise Atiyah duality on the level of fibrewise spectra, and we use this perspective to connect the algebraic constructions to the Chas-Sullivan loop product.

评论

用户提供的评论
正在获取GoodReads评论...
正在检索DOGObooks的评论

标签

争取是第一个!
确认申请

你可能已经申请过这份资料。如果还是想申请,请选确认。

链接数据


Primary Entity

<http://www.worldcat.org/oclc/665049539> # String topology and the based loop space
    a schema:CreativeWork, schema:Book, bgn:Thesis, schema:MediaObject, pto:Web_document ;
   bgn:inSupportOf "" ;
   library:oclcnum "665049539" ;
   schema:contributor <http://viaf.org/viaf/139860406> ; # Stanford University. Department of Mathematics.
   schema:contributor <http://viaf.org/viaf/21239625> ; # Gunnar Carlsson
   schema:contributor <http://viaf.org/viaf/41462215> ; # Steve Kerckhoff
   schema:contributor <http://viaf.org/viaf/164830929> ; # Søren Galatius
   schema:contributor <http://viaf.org/viaf/40494696> ; # Ralph L. Cohen
   schema:creator <http://experiment.worldcat.org/entity/work/data/659491274#Person/malm_eric_james> ; # Eric James Malm
   schema:datePublished "2010" ;
   schema:description "We relate the Batalin-Vilkovisky (BV) algebra structure of the string topology of a manifold to the homological algebra of the singular chains of the based loop space of that manifold, showing that its Hochschild cohomology carries a BV algebra structure isomorphic to that of string topology. Furthermore, this structure is compatible with the usual cup product and Lie bracket on Hochschild cohomology. This isomorphism arises from a derived form of Poincare duality using modules over the based loop space as local coefficient systems. This derived Poincare duality also comes from a form of fibrewise Atiyah duality on the level of fibrewise spectra, and we use this perspective to connect the algebraic constructions to the Chas-Sullivan loop product."@en ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/659491274> ;
   schema:inLanguage "en" ;
   schema:name "String topology and the based loop space"@en ;
   schema:productID "665049539" ;
   schema:publication <http://www.worldcat.org/title/-/oclc/665049539#PublicationEvent/2010> ;
   schema:url <http://purl.stanford.edu/vs885hy7344> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/665049539> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/659491274#Person/malm_eric_james> # Eric James Malm
    a schema:Person ;
   schema:familyName "Malm" ;
   schema:givenName "Eric James" ;
   schema:name "Eric James Malm" ;
    .

<http://viaf.org/viaf/139860406> # Stanford University. Department of Mathematics.
    a schema:Organization ;
   schema:name "Stanford University. Department of Mathematics." ;
    .

<http://viaf.org/viaf/164830929> # Søren Galatius
    a schema:Person ;
   schema:birthDate "1976" ;
   schema:familyName "Galatius" ;
   schema:givenName "Søren" ;
   schema:name "Søren Galatius" ;
    .

<http://viaf.org/viaf/21239625> # Gunnar Carlsson
    a schema:Person ;
   schema:birthDate "1952" ;
   schema:familyName "Carlsson" ;
   schema:givenName "Gunnar" ;
   schema:givenName "G." ;
   schema:name "Gunnar Carlsson" ;
    .

<http://viaf.org/viaf/40494696> # Ralph L. Cohen
    a schema:Person ;
   schema:birthDate "1952" ;
   schema:familyName "Cohen" ;
   schema:givenName "Ralph L." ;
   schema:name "Ralph L. Cohen" ;
    .

<http://viaf.org/viaf/41462215> # Steve Kerckhoff
    a schema:Person ;
   schema:familyName "Kerckhoff" ;
   schema:givenName "Steve" ;
   schema:name "Steve Kerckhoff" ;
    .


Content-negotiable representations

关闭窗口

请登入WorldCat 

没有张号吗?很容易就可以 建立免费的账号.