Journal article
Normal Crossings Singularities for Symplectic Topology: Structures
Acta mathematica Sinica. English series, Vol.40(1), pp.107-160
2024
DOI: 10.1007/s10114-024-2042-4
Abstract
Our previous papers introduce topological notions of normal crossings symplectic divisor and variety, show that they are equivalent, in a suitable sense, to the corresponding geometric notions, and establish a topological smoothability criterion for normal crossings symplectic varieties. The present paper constructs a blowup, a complex line bundle, and a logarithmic tangent bundle naturally associated with a normal crossings symplectic divisor and determines the Chern class of the last bundle. These structures have applications in constructions and analysis of various moduli spaces. As a corollary of the Chern class formula for the logarithmic tangent bundle, we refine Aluffi’s formula for the Chern class of the tangent bundle of the blowup at a complete intersection to account for the torsion and extend it to the blowup at the deepest stratum of an arbitrary normal crossings divisor.
Details
- Title: Subtitle
- Normal Crossings Singularities for Symplectic Topology: Structures
- Creators
- Mohammad Farajzadeh-Tehrani - University of IowaMark Mclean - Stony Brook UniversityAleksey Zinger - Stony Brook University
- Resource Type
- Journal article
- Publication Details
- Acta mathematica Sinica. English series, Vol.40(1), pp.107-160
- Publisher
- Springer Berlin Heidelberg
- DOI
- 10.1007/s10114-024-2042-4
- ISSN
- 1439-8516
- eISSN
- 1439-7617
- Language
- English
- Date published
- 2024
- Academic Unit
- Mathematics
- Record Identifier
- 9984539650402771
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