A condensed proof of the differential Grothendieck–Riemann–Roch theorem

DOI10.1090/S0002-9939-2014-11948-4zbMath1293.19001arXiv1111.5546OpenAlexW2048462041MaRDI QIDQ5418514

Man-Ho Ho

Publication date: 4 June 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.5546

zbMATH Keywords

family indexBismut-Cheeger eta formdifferential Chern characterFreed-Lott differential \(K\)-theory

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Index theory (19K56) Twisted (K)-theory; differential (K)-theory (19L50) Differential geometric aspects of gerbes and differential characters (53C08)

Related Items

The flat Grothendieck-Riemann-Roch theorem without adiabatic techniques ⋮ Some geometric results on \(K\)-theory with \(\mathbb{Z}/k\mathbb{Z}\)-coefficients ⋮ The differential analytic index in Simons-Sullivan differential \(K\)-theory ⋮ Some connections between Bunke-Schick differential \(K\)-theory and topological \(\mathbb{Z}/k\mathbb{Z}\) \(K\)-theory

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