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A Parallel Section Functor for 2-Vector Bundles

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Publication:4577991
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zbMath1412.18009arXiv1711.08639MaRDI QIDQ4577991

Christoph Schweigert, Lukas Woike

Publication date: 7 August 2018

Full work available at URL: https://arxiv.org/abs/1711.08639

zbMATH Keywords

topological field theorygroupoidhigher vector bundlehomotopy fixed pointspseudofunctorparallel sectionhigher representation


Mathematics Subject Classification ID


Related Items

Parallel transport of higher flat gerbes as an extended homotopy quantum field theory, 't Hooft anomalies of discrete gauge theories and non-abelian group cohomology, Orientation twisted homotopy field theories and twisted unoriented Dijkgraaf-Witten theory, Dimensional reduction, extended topological field theories and orbifoldization, Extended homotopy quantum field theories and their orbifoldization



Cites Work

  • Two-vector spaces and groupoids
  • The twisted Drinfeld double of a finite group via gerbes and finite groupoids
  • Orbifold construction for topological field theories
  • Iterated spans and classical topological field theories
  • Cohomological twisting of 2-linearization and extended TQFT
  • Frobenius algebras and homotopy fixed points of group actions on bicategories
  • On the Classification of Topological Field Theories
  • Higher-Dimensional Algebra VII: Groupoidification
  • Infinite-Dimensional Representations of 2-Groups
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