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Counting genus-zero real
curves in symplectic manifolds
Mohammad Farajzadeh TehraniAppendix: Aleksey Zinger |
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Geometry & Topology 20 (2016) 629–695
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Abstract |
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There are two types of –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 –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 . |
Keywords
Gromov-Witten theory, anti-symplectic involution, real
curves
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Mathematical Subject Classification 2010
Primary: 53D45
Secondary: 14N35
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References |
Publication
Received: 18 February 2013
Revised: 1 June 2015
Accepted: 1 July 2015
Published: 28 April 2016
Proposed: Yasha Eliashberg
Seconded: Gang Tian, Ronald Stern
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Authors |
| Mohammad Farajzadeh Tehrani | |
| Simons Center for Geometry and
Physics Stony Brook University John S Toll Dr. Stony Brook, NY 11794 USA |
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| http://mysbfiles.stonybrook.edu/~mfarajzadeht/ | |
| Aleksey Zinger | |
| Department of Mathematics Stony Brook University Stony Brook, NY 11794-3651 USA |
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| http://www.math.stonybrook.edu/~azinger/ | |
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