Crossed simplicial groups and structured surfaces

DOI10.1090/conm/643/12896zbMath1373.18015arXiv1403.5799OpenAlexW2204659524MaRDI QIDQ3187326

Tobias Dyckerhoff, Mikhail Kapranov

Publication date: 2 September 2016

Published in: Stacks and Categories in Geometry, Topology, and Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.5799

zbMATH Keywords

topological field theoriesribbon graphsmoduli of Riemann surfacescategorified state sum invariantsG-structured surfacessimplicial objects in a category

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Topological field theories in quantum mechanics (81T45)

Related Items (16)

Feynman categories and representation theory ⋮ Topological field theories on open-closed \(r\)-spin surfaces ⋮ Decomposition spaces, incidence algebras and Möbius inversion. I: Basic theory ⋮ Perverse schobers and birational geometry ⋮ Perverse sheaves on Riemann surfaces as Milnor sheaves ⋮ Minimal triangulations of circle bundles, circular permutations, and the binary Chern cocycle ⋮ Orderable groups and semigroup compactifications ⋮ Relative 2-Segal spaces ⋮ Flat surfaces and stability structures ⋮ Topological field theory on r-spin surfaces and the Arf-invariant ⋮ Crossed simplicial group categorical nerves ⋮ Homotopy of planar Lie group equivariant presheaves ⋮ 2-Segal objects and algebras in spans ⋮ Relative Calabi–Yau structures ⋮ -homotopy invariants of topological Fukaya categories of surfaces ⋮ Ginzburg algebras of triangulated surfaces and perverse schobers

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