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Interplay between ribbon graphs and CohFT Dumitrescu, Olivia

Description

I will review an axiomatic formulation of a 2D TQFT whose formalism is based on the edge-contraction operations on graphs drawn on a Riemann surface (cellular graphs). I will describe a new result, that ribbon graphs provide both cohomological field theory and a visual explanation of Frobenius-Hopf duality, that plays a crucial role in Givental-Teleman's classification theorem of CohFTs. No prerequisite is assumed. This is based on a work in progress with Motohico Mulase.

Item Metadata

Title
Interplay between ribbon graphs and CohFT
Creator
Dumitrescu, Olivia
Publisher
Banff International Research Station for Mathematical Innovation and Discovery
Date Issued
2018-10-11T10:29
Description
I will review an axiomatic formulation of a 2D TQFT whose formalism is based on the edge-contraction operations on graphs drawn on a Riemann surface (cellular graphs). I will describe a new result, that ribbon graphs provide both cohomological field theory and a visual explanation of Frobenius-Hopf duality, that plays a crucial role in Givental-Teleman's classification theorem of CohFTs. No prerequisite is assumed. This is based on a work in progress with Motohico Mulase.
Extent
59.0 minutes
Subject
Mathematics; Algebraic geometry; Quantum theory
Type
Moving Image
File Format
video/mp4
Language
eng
Notes
Author affiliation: Central Michigan University
Series
BIRS Workshop Lecture Videos (Banff, Alta)
Date Available
2019-04-09
Provider
Vancouver : University of British Columbia Library
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International
DOI
10.14288/1.0378058
URI
http://hdl.handle.net/2429/69544
Affiliation
Non UBC
Peer Review Status
Unreviewed
Scholarly Level
Researcher
Rights URI
http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository
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Attribution-NonCommercial-NoDerivatives 4.0 International