On the Moore-Tachikawa varieties
Roger Bielawski
TL;DR
This paper explores Moore-Tachikawa varieties, special Hamiltonian holomorphic symplectic varieties linked to 2D topological quantum field theories, discussing various constructions and their mathematical properties.
Contribution
It introduces new constructions and insights into Moore-Tachikawa varieties, advancing understanding of their geometric and physical significance.
Findings
Multiple constructions of Moore-Tachikawa varieties are presented.
Connections between these varieties and topological quantum field theories are elucidated.
The paper provides foundational results for future research in symplectic geometry and mathematical physics.
Abstract
Moore-Tachikawa varieties are certain Hamiltonian holomorphic symplectic varieties conjectured in the context of -dimensional topological quantum field theories. We discuss several constructions related to these varieties.
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Taxonomy
TopicsGeometry and complex manifolds · Algebraic Geometry and Number Theory · Advanced Algebra and Geometry