A faithful linear-categorical action of the mapping class group of a surface with boundary

Robert Lipshitz; Peter S. Ozsväth; Dylan P. Thurston

doi:10.4171/JEMS/392

A faithful linear-categorical action of the mapping class group of a surface with boundary

Robert Lipshitz, Peter S. Ozsväth, Dylan P. Thurston

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

We show that the action of the mapping class group on bordered Floer homology in the second to extremal spinc-structure is faithful. This paper is designed partly as an introduction to the subject, and much of it should be readable without a background in Floer homology.

Original language	English (US)
Pages (from-to)	1279-1307
Number of pages	29
Journal	Journal of the European Mathematical Society
Volume	15
Issue number	4
DOIs	https://doi.org/10.4171/JEMS/392
State	Published - 2013
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

Keywords

Categorical group actions
Heegaard floer homology
Mapping class group

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10.4171/JEMS/392

Cite this

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title = "A faithful linear-categorical action of the mapping class group of a surface with boundary",

abstract = "We show that the action of the mapping class group on bordered Floer homology in the second to extremal spinc-structure is faithful. This paper is designed partly as an introduction to the subject, and much of it should be readable without a background in Floer homology.",

keywords = "Categorical group actions, Heegaard floer homology, Mapping class group",

author = "Robert Lipshitz and Ozsv{\"a}th, \{Peter S.\} and Thurston, \{Dylan P.\}",

year = "2013",

doi = "10.4171/JEMS/392",

language = "English (US)",

volume = "15",

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T1 - A faithful linear-categorical action of the mapping class group of a surface with boundary

AU - Lipshitz, Robert

AU - Ozsväth, Peter S.

AU - Thurston, Dylan P.

PY - 2013

Y1 - 2013

N2 - We show that the action of the mapping class group on bordered Floer homology in the second to extremal spinc-structure is faithful. This paper is designed partly as an introduction to the subject, and much of it should be readable without a background in Floer homology.

AB - We show that the action of the mapping class group on bordered Floer homology in the second to extremal spinc-structure is faithful. This paper is designed partly as an introduction to the subject, and much of it should be readable without a background in Floer homology.

KW - Categorical group actions

KW - Heegaard floer homology

KW - Mapping class group

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DO - 10.4171/JEMS/392

M3 - Article

AN - SCOPUS:84878337100

SN - 1435-9855

VL - 15

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EP - 1307

JO - Journal of the European Mathematical Society

JF - Journal of the European Mathematical Society

IS - 4

ER -

A faithful linear-categorical action of the mapping class group of a surface with boundary

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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