Singularities and semistable degenerations for symplectic topology |
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Authors: | Mohammad F Tehrani Mark McLean Aleksey Zinger |
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Institution: | 1. Simons Center for Geometry and Physics, Stony Brook University, Stony Brook, NY 11794, USA;2. Department of Mathematics, Stony Brook University, Stony Brook, NY 11794, USA |
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Abstract: | We overview our work 7], 8], 9], 10], 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. |
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