Quantizations of local Calabi-Yau threefolds and their moduli of vector bundles
Edoardo Ballico, Elizabeth Gasparim, Francisco Rubilar, Bruno Suzuki
TL;DR
This paper explores how noncommutative deformations of local Calabi-Yau threefolds are influenced by Poisson structures, affecting the geometry of their quantum moduli spaces.
Contribution
It provides a detailed analysis of the relationship between Poisson structures and the geometry of noncommutative deformations of local Calabi-Yau threefolds.
Findings
Poisson structures significantly influence quantum moduli space geometry
Noncommutative deformations are characterized by their Poisson structures
The geometry of the moduli space varies with different Poisson choices
Abstract
We describe the geometry of noncommutative deformations of local Calabi-Yau threefolds, showing that the choice of Poisson structure strongly influences the geometry of the quantum moduli space.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Algebra and Geometry · Homotopy and Cohomology in Algebraic Topology