Journal article
Normal Crossings Degenerations of Symplectic Manifolds
Peking Mathematical Journal, Vol.2(3-4), pp.275-351
09/18/2019
DOI: 10.1007/s42543-019-00017-y
Abstract
We use local Hamiltonian torus actions to degenerate a symplectic manifold to a normal crossings symplectic variety in a smooth one-parameter family. This construction, motivated in part by the Gross–Siebert and B. Parker’s programs, contains a multifold version of the usual (two-fold) symplectic cut construction and in particular splits a symplectic manifold into several symplectic manifolds containing normal crossings symplectic divisors with shared irreducible components in one step.
Details
- Title: Subtitle
- Normal Crossings Degenerations of Symplectic Manifolds
- Creators
- Mohammad Farajzadeh Tehrani - Simons Center for Geometry and Physics, Stony Brook University, Department of Mathematics, The University of IowaAleksey Zinger - Stony Brook University
- Resource Type
- Journal article
- Publication Details
- Peking Mathematical Journal, Vol.2(3-4), pp.275-351
- DOI
- 10.1007/s42543-019-00017-y
- ISSN
- 2096-6075
- eISSN
- 2524-7182
- Publisher
- Springer Singapore
- Language
- English
- Date published
- 09/18/2019
- Academic Unit
- Mathematics
- Record Identifier
- 9984242450102771
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