Algebra of Kodaira-Spencer Gravity and Deformation of Calabi-Yau Manifold
Kenji Mohri
TL;DR
This paper explores the algebraic structure underlying Kodaira-Spencer gravity on Calabi-Yau threefolds and examines classical deformation problems using these algebraic tools.
Contribution
It introduces an algebraic framework for Kodaira-Spencer gravity and applies it to analyze classical deformation issues on Calabi-Yau manifolds.
Findings
Established an algebraic structure for the configuration space
Analyzed classical deformation problems using the new algebraic tools
Provided insights into the deformation theory of Calabi-Yau manifolds
Abstract
We study the algebraic structure of the configuration space of the Kodaira-Spencer gravity theory on a Calabi-Yau threefold. We then investigate the deformation problem of the Kodaira-Spencer gravity at the classical level using the algebraic tools obtained here.
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