Normal Crossings Degenerations of Symplectic Manifolds
Symplectic Geometry
2017-05-11 v2 High Energy Physics - Theory
Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.1603.07661,
title = {Normal Crossings Degenerations of Symplectic Manifolds},
author = {Mohammad Farajzadeh Tehrani and Aleksey Zinger},
journal= {arXiv preprint arXiv:1603.07661},
year = {2017}
}
Comments
65 pages, 2 figures; more precise formulations of a couple of statements