Cellular Legendrian contact homology for surfaces, part II
Dan Rutherford, Michael Sullivan
TL;DR
This paper proves that for Legendrian surfaces in 1-jet spaces, the Cellular DGA is stable tame isomorphic to the Legendrian contact homology DGA, confirming their equivalence in this setting.
Contribution
It establishes the isomorphism between Cellular DGA and Legendrian contact homology DGA for surfaces, extending previous results.
Findings
Cellular DGA is stable tame isomorphic to Legendrian contact homology DGA
Confirms the equivalence for Legendrian surfaces in 1-jet spaces
Builds on previous work to solidify the algebraic invariants
Abstract
This article is a continuation of [15]. For Legendrian surfaces in -jet spaces, we prove that the Cellular DGA defined in [15] is stable tame isomorphic to the Legendrian contact homology DGA.
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Taxonomy
TopicsTopological and Geometric Data Analysis · Geometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology