Mixed-Spin-P fields of Fermat quintic polynomials

Abstract

This is the first part of the project toward an effective algorithm to evaluate all genus Gromov-Witten invariants of quintic Calabi-Yau threefolds. In this paper, we introduce the notion of Mixed-Spin-P fields, construct their moduli spaces, and construct the virtual cycles of these moduli spaces.

Introduction and references updated. 34 pages

References in corpus (4)

• Phases of $N=2$ Theories In Two Dimensions
• Landau-Ginzburg/Calabi-Yau correspondence for quintic three-folds via symplectic transformations
• Orbifold techniques in degeneration formulas
• Witten's top Chern class via cosection localization

Cited by in corpus (16)

• Virtual cycles of stable (quasi)-maps with fields
• Genus-One Mirror Symmetry in the Landau-Ginzburg Model
• The logarithmic gauged linear sigma model
• A Remark on Gromov-Witten Invariants of Quintic Threefold
• Gauged Linear Sigma Model in Geometric Phases. I
• Genus one GW invariants of quintic threefolds via MSP localization
• Invariants of stable quasimaps with fields
• Motivic integration and the birational invariance of BCOV invariants
• A new method toward the Landau-Ginzburg/Calabi-Yau correspondence via quasi-maps
• Localizing virtual structure sheaves by cosections
• Virtual cycles of gauged Witten equation
• A vanishing associated with irregular MSP fields
• Virtual Residue and an integral formalism
• The Moduli Space in the Gauged Linear Sigma Model
• Higher-genus wall-crossing in Landau-Ginzburg theory
• A survey on mixed spin P-fields