TY - JOUR
T1 - Covariantly functorial wrapped Floer theory on Liouville sectors
AU - Ganatra, Sheel
AU - Pardon, John
AU - Shende, Vivek
N1 - Funding Information:
S. G. was partially supported by the National Science Foundation through a postdoctoral fellowship with grant number DMS-1204393 and under agreement number DMS-1128155. Any opinions, findings and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation.
Funding Information:
This research was conducted during the period J. P. served as a Clay Research Fellow and was partially supported by a Packard Fellowship and by the National Science Foundation under the Alan T. Waterman Award, Grant No. 1747553.
Funding Information:
V. S. is partially supported by the NSF grant DMS-1406871 and a Sloan fellowship.
Publisher Copyright:
© 2019, IHES and Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2020/6/1
Y1 - 2020/6/1
N2 - We introduce a class of Liouville manifolds with boundary which we call Liouville sectors. We define the wrapped Fukaya category, symplectic cohomology, and the open-closed map for Liouville sectors, and we show that these invariants are covariantly functorial with respect to inclusions of Liouville sectors. From this foundational setup, a local-to-global principle for Abouzaid’s generation criterion follows.
AB - We introduce a class of Liouville manifolds with boundary which we call Liouville sectors. We define the wrapped Fukaya category, symplectic cohomology, and the open-closed map for Liouville sectors, and we show that these invariants are covariantly functorial with respect to inclusions of Liouville sectors. From this foundational setup, a local-to-global principle for Abouzaid’s generation criterion follows.
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U2 - 10.1007/s10240-019-00112-x
DO - 10.1007/s10240-019-00112-x
M3 - Article
AN - SCOPUS:85071595994
SN - 0073-8301
VL - 131
SP - 73
EP - 200
JO - Publications Mathematiques de l'Institut des Hautes Etudes Scientifiques
JF - Publications Mathematiques de l'Institut des Hautes Etudes Scientifiques
IS - 1
ER -