Journal article
Counting genus-zero real curves in symplectic manifolds
Geometry & topology, Vol.20(2), pp.629-695
01/01/2016
DOI: 10.2140/gt.2016.20.629
Abstract
There are two types of J-holomorphic spheres in a symplectic manifold which are invariant under an anti-symplectic involution: those that have a fixed point locus and those that do not. The former are described by moduli spaces of J-holomorphic disks, which are well studied in the literature. In this paper, we first study moduli spaces describing the latter and then combine the two types of moduli spaces to get a well-defined theory of counting real curves of genus 0. We use equivariant localization to show that these invariants (unlike the disk invariants) are essentially the same for the two (standard) involutions on P4n-1.
Details
- Title: Subtitle
- Counting genus-zero real curves in symplectic manifolds
- Creators
- Mohammad Farajzadeh Tehrani - Stony Brook UniversityAleksey Zinger - SUNY Stony Brook, Dept Math, Stony Brook, NY 11794 USA
- Resource Type
- Journal article
- Publication Details
- Geometry & topology, Vol.20(2), pp.629-695
- DOI
- 10.2140/gt.2016.20.629
- ISSN
- 1465-3060
- eISSN
- 1364-0380
- Publisher
- GEOMETRY & TOPOLOGY PUBLICATIONS
- Number of pages
- 67
- Language
- English
- Date published
- 01/01/2016
- Academic Unit
- Mathematics
- Record Identifier
- 9984240865802771
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