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arXiv · 1707.01464

Singularities and Semistable Degenerations for Symplectic Topology

Mohammad Farajzadeh Tehrani·Mark McLean·Aleksey Zinger
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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.

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Mohammad Farajzadeh Tehrani, Mark McLean, Aleksey Zinger. 2017-07-05. Singularities and Semistable Degenerations for Symplectic Topology. https://arxiv.org/abs/1707.01464

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