Algebraic virtual cycles for quantum singularity theories
Huai-Liang Chang, Young-Hoon Kiem, Jun Li
TL;DR
This paper introduces algebraic virtual cycles to construct cohomological field theories for Fan-Jarvis-Ruan invariants using integral transformations, advancing the mathematical framework of quantum singularity theories.
Contribution
It presents a novel algebraic approach to virtual cycles that enables the construction of cohomological field theories for quantum singularity models.
Findings
Established algebraic virtual cycles for Fan-Jarvis-Ruan invariants.
Connected virtual cycles with integral transformations.
Enhanced the mathematical understanding of quantum singularity theories.
Abstract
We construct algebraic virtual cycles that give us the cohomological field theories of Fan-Jarvis-Ruan invariants by integral transformations.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Topics in Algebra · Advanced Algebra and Geometry