Two-dimensional topological quantum field theories of rank two over Dedekind domains
Fabian Espinoza, Mee Seong Im, Mikhail Khovanov
TL;DR
This paper constructs examples of rank-two Frobenius algebras over Dedekind rings that are projective but not free, exploring their potential applications in link homology theories.
Contribution
It introduces new Frobenius algebra examples over Dedekind domains that are not free, expanding the understanding of algebraic structures in topological quantum field theories.
Findings
Examples of non-free projective Frobenius algebras of rank two over Dedekind rings.
Discussion of potential applications to link homology.
Insights into the structure of topological quantum field theories over Dedekind domains.
Abstract
We give examples of Frobenius algebras of rank two over ground Dedekind rings which are projective but not free and discuss possible applications of these algebras to link homology.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology