Enumeration of real curves in \(\mathbb{CP}^{2n-1}\) and a Witten-Dijkgraaf-Verlinde-Verlinde relation for real Gromov-Witten invariants

DOI10.1215/00127094-2017-0023zbMath1384.53070arXiv1309.4079OpenAlexW3100266417MaRDI QIDQ1689615

Penka Georgieva, Aleksey Zinger

Publication date: 12 January 2018

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.4079

zbMATH Keywords

Deligne-Mumford modulienumeration of real curvesreal Gromov-Witten invariants recursionWDVV-type relation

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)

Related Items (17)

Point-like bounding chains in open Gromov-Witten theory ⋮ Real Gromov-Witten theory in all genera and real enumerative geometry: construction ⋮ Pencils of quadrics and Gromov-Witten-Welschinger invariants of \(\mathbb {CP}^3\) ⋮ Symmetric periodic orbits and uniruled real Liouville domains ⋮ WDVV-type relations for disk Gromov-Witten invariants in dimension 6 ⋮ Steenrod pseudocycles, lifted cobordisms, and Solomon's relations for Welschinger invariants ⋮ A remark on the Gromov-Witten-Welschinger invariants of \(\mathbb{C}P^3\# \overline{\mathbb{C}P}^{3_*}\) ⋮ Real topological string amplitudes ⋮ The cyclic open-closed map, u-connections and R-matrices ⋮ Real Gromov-Witten theory ⋮ Some Questions in the Theory of Pseudoholomorphic Curves ⋮ Abundance of 3-planes on real projective hypersurfaces ⋮ A recursion for counts of real curves in ℂℙ2n−1: Another proof ⋮ Real orientations, real Gromov-Witten theory, and real enumerative geometry ⋮ Welschinger invariants of blow-ups of symplectic 4-manifolds ⋮ A geometric depiction of Solomon-Tukachinsky's construction of open Gromov-Witten invariants ⋮ On Welschinger Invariants of Descendant Type

This page was built for publication: Enumeration of real curves in \(\mathbb{CP}^{2n-1}\) and a Witten-Dijkgraaf-Verlinde-Verlinde relation for real Gromov-Witten invariants