The logarithmic gauged linear sigma model
arXiv:1906.04345 · doi:10.1007/s00222-021-01044-2
Abstract
We introduce the notion of log R-maps, and develop a proper moduli stack of stable log R-maps in the case of a hybrid gauged linear sigma model. Two virtual cycles (canonical and reduced) are constructed for these moduli stacks. The main results are two comparison theorems relating the reduced virtual cycle to the cosection localized virtual cycle, as well as the reduced virtual cycle to the canonical virtual cycle. This sets the foundation of a new technique for computing higher genus Gromov-Witten invariants of complete intersections.
Agrees with published version; 57 pages
References in corpus (14)
- Mixed-Spin-P fields of Fermat quintic polynomials
- A mirror theorem for genus two Gromov-Witten invariants of quintic threefolds
- Punctured logarithmic maps
- Structure of Higher Genus Gromov-Witten Invariants of Quintic 3-folds
- Virtual cycles of stable (quasi)-maps with fields
- Polynomial structure of Gromov-Witten potential of quintic -folds via NMSP
- BCOV's Feynman rule of quintic -folds
- Localized Chern Characters for 2-periodic complexes
- Towards Logarithmic GLSM: The r-spin case
- Gauged Linear Sigma Model in Geometric Phases. I
- Quantum singularity theory via cosection localization
- Algebraic virtual cycles for quantum singularity theories
- Invariants of stable quasimaps with fields
- Higher-genus Gromov-Witten invariants as genus 0 invariants of symmetric products