## Advanced Studies in Pure Mathematics

### From GW invariants of symmetric product stacks to relative invariants of threefolds

Wan Keng Cheong

#### Abstract

In this note, we relate the equivariant GW invariants of the symmetric product stacks of any nonsingular toric surface $X$ in genus zero to the equivariant relative GW invariants of the threefold $X \times \mathbb{P}^1$ in all genera. We give an example for which an equivalence between these two theories exists.

#### Article information

Dates
Revised: 1 June 2012
First available in Project Euclid: 19 October 2018

https://projecteuclid.org/ euclid.aspm/1539916446

Digital Object Identifier
doi:10.2969/aspm/06510059

Mathematical Reviews number (MathSciNet)
MR3380775

Zentralblatt MATH identifier
1360.14128

#### Citation

Cheong, Wan Keng. From GW invariants of symmetric product stacks to relative invariants of threefolds. Algebraic Geometry in East Asia — Taipei 2011, 59--81, Mathematical Society of Japan, Tokyo, Japan, 2015. doi:10.2969/aspm/06510059. https://projecteuclid.org/euclid.aspm/1539916446