přejít na obsah
String topology and the based loop space Náhled dokumentu
ZavřítNáhled dokumentu
Probíhá kontrola...

String topology and the based loop space

Autor Eric James MalmRalph L CohenG CarlssonSøren GalatiusSteve KerckhoffVšichni autoři
Vydavatel: 2010.
Dizertace: Thesis (Ph. D.)--Stanford University, 2010.
Vydání/formát:   Kvalifikační práce : Document : Thesis/dissertation : e-kniha   Computer File : English
Databáze:WorldCat
Shrnutí:
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  Přečíst více...
Hodnocení:

(ještě nehodnoceno) 0 zobrazit recenze - Buďte první.

 

Najít online exemplář

Odkazy na tento dokument

Vyhledat exemplář v knihovně

&AllPage.SpinnerRetrieving; Vyhledávání knihoven, které vlastní tento dokument...

Detaily

Typ materiálu: Document, Thesis/dissertation, Internetový zdroj
Typ dokumentu: Internet Resource, Computer File
Všichni autoři/tvůrci: Eric James Malm; Ralph L Cohen; G Carlsson; Søren Galatius; Steve Kerckhoff; Stanford University. Department of Mathematics.
OCLC číslo: 665049539
Poznámky: Submitted to the Department of Mathematics.
Popis: 1 online resource.
Odpovědnost: Eric James Malm.

Anotace:

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.

Recenze

Recenze vložené uživatelem
Nahrávání recenzí GoodReads...
Přebírání recenzí DOGO books...

Štítky

Buďte první.
Potvrdit tento požadavek

Tento dokument jste si již vyžádali. Prosím vyberte Ok pokud chcete přesto v žádance pokračovat.

Propojená data


<http://www.worldcat.org/oclc/665049539>
library:oclcnum"665049539"
owl:sameAs<info:oclcnum/665049539>
rdf:typej.1:Thesis
rdf:typeschema:Book
rdf:typej.1:Web_document
schema:contributor
<http://viaf.org/viaf/139860406>
rdf:typeschema:Organization
schema:name"Stanford University. Department of Mathematics."
schema:contributor
schema:contributor
schema:contributor
schema:contributor
schema:creator
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:url<http://purl.stanford.edu/vs885hy7344>
schema:url

Content-negotiable representations

Zavřít okno

Prosím přihlaste se do WorldCat 

Nemáte účet? Můžete si jednoduše vytvořit bezplatný účet.