paper

Formal Contact Categories

arXiv:1511.04765 · doi:10.2140/agt.2024.24.2389

Abstract

To each oriented surface S, we associate a differential graded category Ko(S). The homotopy category Ho(Ko(S)) is a triangulated category which satisfies properties akin to those of the contact categories studied by K. Honda. These categories are also related to the algebraic contact categories of Y. Tian and to the bordered sutured categories of R. Zarev.

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