Mixed-Spin-P fields of Fermat quintic polynomials

2015/05/28 by Huai-Liang Chang, Chang, Huai-Liang, Jun Li +5 · 2 citations
Computer Science · Mathematics · #14J32 #14N35 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1505.07532

openalex publication_date 2015/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Witten's top Chern class via cosection localization

Cited by

• Virtual cycles of gauged Witten equation
• Localizing virtual structure sheaves by cosections

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