A faithful linear-categorical action of the mapping class group of a surface with boundary
Journal of the European Mathematical Society, Tome 15 (2013) no. 4, pp. 1279-1307
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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.
Classification :
57-XX, 00-XX
Keywords: Mapping class group, Heegaard Floer homology, categorical group actions
Keywords: Mapping class group, Heegaard Floer homology, categorical group actions
@article{JEMS_2013_15_4_a4,
author = {Robert Lipshitz and Peter S. Ozsv\'ath and Dylan P. Thurston},
title = {A faithful linear-categorical action of the mapping class group of a surface with boundary},
journal = {Journal of the European Mathematical Society},
pages = {1279--1307},
publisher = {mathdoc},
volume = {15},
number = {4},
year = {2013},
doi = {10.4171/jems/392},
url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/392/}
}
TY - JOUR AU - Robert Lipshitz AU - Peter S. Ozsváth AU - Dylan P. Thurston 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 SP - 1279 EP - 1307 VL - 15 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4171/jems/392/ DO - 10.4171/jems/392 ID - JEMS_2013_15_4_a4 ER -
%0 Journal Article %A Robert Lipshitz %A Peter S. Ozsváth %A Dylan P. Thurston %T A faithful linear-categorical action of the mapping class group of a surface with boundary %J Journal of the European Mathematical Society %D 2013 %P 1279-1307 %V 15 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4171/jems/392/ %R 10.4171/jems/392 %F JEMS_2013_15_4_a4
Robert Lipshitz; Peter S. Ozsváth; Dylan P. Thurston. A faithful linear-categorical action of the mapping class group of a surface with boundary. Journal of the European Mathematical Society, Tome 15 (2013) no. 4, pp. 1279-1307. doi: 10.4171/jems/392
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