TL;DR
This paper introduces the pong algebra, a differential graded algebra related to knot Floer homology, and computes its A-infinity structure on homology, advancing algebraic tools in knot theory.
Contribution
It presents the pong algebra and explicitly computes its A-infinity structure, providing new algebraic frameworks for knot Floer homology.
Findings
Defined the pong algebra as a differential graded algebra.
Computed the A-infinity structure on its homology.
Extended algebraic methods in knot Floer homology.
Abstract
In an earlier paper, we described bordered algebras for knot Floer homology. In this paper, we introduce a differential graded algebra, the pong algebra and compute the A-infinity structure on its homology.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models