Singularities and Semistable Degenerations for Symplectic Topology
Symplectic Geometry
2017-07-06 v1 High Energy Physics - Theory
Algebraic Geometry
Abstract
We overview our recent work 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.
Keywords
Cite
@article{arxiv.1707.01464,
title = {Singularities and Semistable Degenerations for Symplectic Topology},
author = {Mohammad Farajzadeh Tehrani and Mark McLean and Aleksey Zinger},
journal= {arXiv preprint arXiv:1707.01464},
year = {2017}
}
Comments
18 pages, 2 figures