Equivariant holonomy for bundles and abelian gerbes

DOI10.1007/s00220-012-1529-5zbMath1254.53048arXiv1106.1668OpenAlexW3103426436MaRDI QIDQ455691

Scott O. Wilson, Thomas Tradler, Mahmoud Zeinalian

Publication date: 22 October 2012

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.1668

zbMATH Keywords

Hochschild complex2-holonomy along a surfaceBismut's equivariant Chern characterChern integrated integral mapequivariant 2-holonomyequivariant 2-holonomy for abelian gerbesequivariant Chern character of vector bundleshigher holonomies

Mathematics Subject Classification ID

Issues of holonomy in differential geometry (53C29) Generalizations of fiber spaces and bundles in algebraic topology (55R65) Differential geometric aspects of gerbes and differential characters (53C08)

Related Items

Modeling bundle-valued forms on the path space with a curved iterated integral ⋮ Iterated integrals with values in Azumaya algebras ⋮ Exotic twisted equivariant K-theory ⋮ Two-dimensional algebra in lattice gauge theory ⋮ Higher Hochschild homology, topological chiral homology and factorization algebras ⋮ Exotic twisted equivariant cohomology of loop spaces, twisted Bismut-Chern character and T-duality ⋮ The derivative of global surface-holonomy for a non-abelian gerbe ⋮ ON 2-HOLONOMY ⋮ A loop group extension of the odd Chern character ⋮ Loop differential \(K\)-theory

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