Asymptotic behaviour of variation of pure polarized TERP structures
Takuro Mochizuki
TL;DR
This paper surveys the reduction of harmonic bundles and explores the asymptotic behavior of the supersymmetric index in pure polarized TERP structures, providing insights into their limiting properties.
Contribution
It introduces a simplified analysis of the asymptotic behavior of the supersymmetric index in TERP structures, connecting harmonic bundle reductions with asymptotic analysis.
Findings
Asymptotic behavior of the supersymmetric index is characterized.
Reduction techniques for harmonic bundles are summarized.
Application to TERP structures offers new insights.
Abstract
The purpose of this paper is twofold. One is to give a survey of our study on the reductions of harmonic bundles, and the other is to explain a simple application in the study of TERP structure. In particular, we investigate the asymptotic behaviour of the "new supersymmetric index" for variation of pure polarized TERP structures.
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Taxonomy
TopicsGeometry and complex manifolds · Algebraic Geometry and Number Theory · Advanced Algebra and Geometry