Universal deformation formulas
Elisabeth Remm, Martin Markl
TL;DR
This paper provides a conceptual framework for universal deformation formulas in unital associative algebras, explores their moduli spaces, and extends the formulas to other algebra types and diagrams.
Contribution
It introduces a new conceptual explanation for universal deformation formulas and generalizes them beyond associative algebras.
Findings
Structured the moduli spaces of deformations.
Generalized formulas to other algebraic structures.
Provided theoretical insights into deformation theory.
Abstract
We give a conceptual explanation of universal deformation formulas for unital associative algebras and prove some results on the structure of their moduli spaces. We then generalize universal deformation formulas to other types of algebras and their diagrams.
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Taxonomy
TopicsAdvanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models