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

Robert Lipshitz; Peter Ozsváth; Dylan P. Thurston

Journal of the European Mathematical Society (2013)

  • Volume: 015, Issue: 4, page 1279-1307
  • ISSN: 1435-9855

Abstract

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We show that the action of the mapping class group on bordered Floer homology in the second to extremal spin c -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.

How to cite

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Lipshitz, Robert, Ozsváth, Peter, and Thurston, Dylan P.. "A faithful linear-categorical action of the mapping class group of a surface with boundary." Journal of the European Mathematical Society 015.4 (2013): 1279-1307. <http://eudml.org/doc/277746>.

@article{Lipshitz2013,
abstract = {We show that the action of the mapping class group on bordered Floer homology in the second to extremal spin$^c$-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.},
author = {Lipshitz, Robert, Ozsváth, Peter, Thurston, Dylan P.},
journal = {Journal of the European Mathematical Society},
keywords = {mapping class group; Heegaard Floer homology; categorical group actions; triangulated category; mapping class group; Heegaard–Floer homology; categorical group action; triangulated category},
language = {eng},
number = {4},
pages = {1279-1307},
publisher = {European Mathematical Society Publishing House},
title = {A faithful linear-categorical action of the mapping class group of a surface with boundary},
url = {http://eudml.org/doc/277746},
volume = {015},
year = {2013},
}

TY - JOUR
AU - Lipshitz, Robert
AU - Ozsváth, Peter
AU - Thurston, Dylan P.
TI - A faithful linear-categorical action of the mapping class group of a surface with boundary
JO - Journal of the European Mathematical Society
PY - 2013
PB - European Mathematical Society Publishing House
VL - 015
IS - 4
SP - 1279
EP - 1307
AB - We show that the action of the mapping class group on bordered Floer homology in the second to extremal spin$^c$-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.
LA - eng
KW - mapping class group; Heegaard Floer homology; categorical group actions; triangulated category; mapping class group; Heegaard–Floer homology; categorical group action; triangulated category
UR - http://eudml.org/doc/277746
ER -

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