Geodesic
Formal contact categories
Cooper, Benjamin1
1 Department of Mathematics, University of Iowa, Iowa City, IA, United States
Algebraic and Geometric Topology, Tome 24 (2024) no. 5, pp. 2389-2449

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

To each oriented surface Σ, we associate a differential graded category 𝒦o ⁡ (Σ). The homotopy category Ho ⁡ (𝒦o ⁡ (Σ)) 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.

DOI : 10.2140/agt.2024.24.2389
Classification : 53D10, 18G55
Keywords: contact geometry, Heegaard–Floer, topological quantum field theory

Cooper, Benjamin 1

1 Department of Mathematics, University of Iowa, Iowa City, IA, United States 
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Cooper, Benjamin. Formal contact categories. Algebraic and Geometric Topology, Tome 24 (2024) no. 5, pp. 2389-2449. doi: 10.2140/agt.2024.24.2389

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