English

A recursion for counts of real curves in CP^{2n-1}: another proof

Algebraic Geometry 2015-09-11 v2 Symplectic Geometry

Abstract

In a recent paper, we obtained a WDVV-type relation for real genus 0 Gromov-Witten invariants with conjugate pairs of insertions; it specializes to a complete recursion in the case of odd-dimensional projective spaces. This note provides another, more complex-geometric, proof of the latter. The main part of this approach readily extends to real symplectic manifolds with empty real locus, but not to the general case.

Keywords

Cite

@article{arxiv.1401.1750,
  title  = {A recursion for counts of real curves in CP^{2n-1}: another proof},
  author = {Penka Georgieva and Aleksey Zinger},
  journal= {arXiv preprint arXiv:1401.1750},
  year   = {2015}
}

Comments

19 pages, 3 figures; updated citations and notation for consistency with other papers. arXiv admin note: text overlap with arXiv:1309.4079