16-18 October 2013
Université d'Angers
Europe/Paris timezone

String topology of classifying spaces

18 Oct 2013, 15:05
45m
Amphi L005 (bâtiment L) (Université d'Angers)

Amphi L005 (bâtiment L)

Université d'Angers

Université d'Angers, 2 Boulevard Lavoisier, 49045 Angers cedex 01
Exposé de recherche sur invitation Topologie algébrique et applications

Speaker

Dr Richard Hepworth (University of Aberdeen)

Description

Let G be a Lie group. Chataur and Menichi showed that the homology of the free loop space L(BG) admits a rich algebraic structure: it is part of a homological field theory, meaning that it admits operations parameterised by the homology of mapping class groups. I will discuss a new construction of this field theory that radically enlarges the class of allowable cobordisms, trading surfaces with boundaries for arbitrary spaces with the homotopy type of a finite graph. The result is a new kind of field theory related to mapping class groups of surfaces and automorphism groups of free groups with boundary. This is joint work with Anssi Lahtinen.
Mots Clés / Keywords string topology, classifying spaces, topological field theory

Primary author

Dr Richard Hepworth (University of Aberdeen)

Presentation Materials

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