2 papers
math.QA2026
Total Inner Products and Cyclic Chern-Simons Forms
Pavel Giterman, Jake P. Solomon
We introduce the notion of a total inner product on an -algebra, and a cyclic Chern-Simons form associated to a topologically nilpotent element. The total inner product a…
math.SG2025
Differential forms, open-closed maps, and Gromov-Witten axioms
Pavel Giterman, Jake P. Solomon, Sara B. Tukachinsky
We construct open-closed maps on various versions of Hochschild and cyclic homology of the Fukaya algebra of a Lagrangian submanifold modeled on differential forms. The…