Bordism invariance of orientations and real APS index theory

DOI10.1016/j.aim.2024.110048MaRDI QIDQ6663133

Markus Upmeier

Publication date: 14 January 2025

Published in: Advances in Mathematics (Search for Journal in Brave)

zbMATH Keywords

gauge theoryindex theorytopological quantum field theoriesdeterminant line bundleselliptic boundary conditionscobordisms moduli spaces

Mathematics Subject Classification ID

Moduli problems for differential geometric structures (58D27) Boundary value problems on manifolds (58J32) Differential topology (57Rxx) Elliptic operators and their generalizations (47F10) Higher categories and homotopical algebra (18Nxx)

Cites Work

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• Clifford modules
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• A Categorified Excision Principle for Elliptic Symbol Families
• Spectral asymmetry and Riemannian Geometry. I
• Clifford Algebras and Lie Theory
• Conjectures on counting associative 3-folds in 𝐺₂-manifolds
• Boundary Value Problems for Elliptic Differential Operators of First Order
• Canonical orientations for moduli spaces of \(G_2\)-instantons with gauge group \(\mathrm{SU}(m)\) or \(\mathrm{U}(m)\)

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