Singularities and semistable degenerations for symplectic topology

Mohammad F Tehrani; Mark McLean; Aleksey Zinger

doi:10.1016/j.crma.2018.02.009

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Singularities and semistable degenerations for symplectic topology

Journal article

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Singularities and semistable degenerations for symplectic topology

Mohammad F Tehrani, Mark McLean and Aleksey Zinger

Comptes rendus. Mathématique, Vol.356(4), pp.420-432

04/01/2018

DOI: 10.1016/j.crma.2018.02.009

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Abstract

We overview our work [7-11,6] defining and studying normal crossings varieties and subvarieties in symplectic topology. This work answers a question of Gromov on the feasibility of introducing singular (sub) varieties into symplectic topology in the case of normal crossings singularities. It also provides a necessary and sufficient condition for smoothing normal crossings symplectic varieties. In addition, we explain some connections with other areas of mathematics and discuss a few directions for further research. (C) 2018 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

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Details

Title: Subtitle: Singularities and semistable degenerations for symplectic topology
Creators: Mohammad F Tehrani - Stony Brook University
Mark McLean - Stony Brook University
Aleksey Zinger - Stony Brook University
Resource Type: Journal article
Publication Details: Comptes rendus. Mathématique, Vol.356(4), pp.420-432
DOI: 10.1016/j.crma.2018.02.009
ISSN: 1631-073X
eISSN: 1778-3569
Publisher: ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
Number of pages: 13
Grant note: 1500875 / NSF
Language: English
Date published: 04/01/2018
Academic Unit: Mathematics
Record Identifier: 9984241150002771

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