- Library Home /
- Search Collections /
- Open Collections /
- Browse Collections /
- BIRS Workshop Lecture Videos /
- Cellular BV-BFV-BF theory
Open Collections
BIRS Workshop Lecture Videos
BIRS Workshop Lecture Videos
Cellular BV-BFV-BF theory Mnev, Pavel
Description
We will present an example of a topological field theory living on cobordisms endowed with CW decomposition (this example corresponds to the so-called BF theory in its abelian and non-abelian variants), which satisfies the Batalin-Vilkovisky master equation, satisfies (a version of) Segal's gluing axiom w.r.t. concatenation of cobordisms and is compatible with cellularaggregations. In non-abelian case, the action functional of the theory is constructed out of local unimodular L-infinity algebras on cells; the partition function carries the information about the Reidemeister torsion, together with certain information pertaining to formal geometry of the moduli space of local systems. This theory provides an example of the BV-BFV programme for quantization of field theories on manifolds with boundary in cohomological formalism. This is a joint work with Alberto S. Cattaneo and Nicolai Reshetikhin.
Item Metadata
Title |
Cellular BV-BFV-BF theory
|
Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
|
Date Issued |
2017-06-06T09:00
|
Description |
We will present an example of a topological field theory living on cobordisms endowed
with CW decomposition (this example corresponds to the so-called BF theory in its abelian and
non-abelian variants), which satisfies the Batalin-Vilkovisky master equation, satisfies (a version of)
Segal's gluing axiom w.r.t. concatenation of cobordisms and is compatible with
cellularaggregations. In non-abelian case, the action functional of the theory is constructed out of
local unimodular L-infinity algebras on cells; the partition function carries the information about the
Reidemeister torsion, together with certain information pertaining to formal geometry of the moduli
space of local systems. This theory provides an example of the BV-BFV programme for
quantization of field theories on manifolds with boundary in cohomological formalism. This is a joint
work with Alberto S. Cattaneo and Nicolai Reshetikhin.
|
Extent |
60 minutes
|
Subject | |
Type | |
File Format |
video/mp4
|
Language |
eng
|
Notes |
Author affiliation: University of Notre Dame
|
Series | |
Date Available |
2017-12-05
|
Provider |
Vancouver : University of British Columbia Library
|
Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
|
DOI |
10.14288/1.0361172
|
URI | |
Affiliation | |
Peer Review Status |
Unreviewed
|
Scholarly Level |
Faculty
|
Rights URI | |
Aggregated Source Repository |
DSpace
|
Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International