Index theory in spaces of manifolds

DOI10.1007/s00208-019-01809-4zbMath1445.58012arXiv1608.01701OpenAlexW2963537955MaRDI QIDQ2423433

Johannes Ebert

Publication date: 21 June 2019

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.01701

zbMATH Keywords

families index theoremspectrum of spaces of manifolds

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Exotic index theories on manifolds (58J22) Other types of cobordism (57R90) Index theory (19K56)

Related Items (5)

The positive scalar curvature cobordism category ⋮ Positive scalar curvature on spin pseudomanifolds: the fundamental group and secondary invariants ⋮ Infinite loop spaces and positive scalar curvature in the presence of a fundamental group ⋮ Coarse geometry and Callias quantisation ⋮ Band width estimates via the Dirac operator

Cites Work

• The homotopy type of the cobordism category
• A note on the cobordism invariance of the index
• Monoids of moduli spaces of manifolds
• The longitudinal index theorem for foliations
• Infinite loop spaces and positive scalar curvature
• The stable moduli space of Riemann surfaces: Mumford's conjecture
• The index of elliptic operators. I
• The index of elliptic operators. IV, V
• A vanishing theorem for characteristic classes of odd-dimensional manifold bundles
• Infinite Loop Spaces (AM-90)
• Champs continus d'espaces hilbertiens et de $C^*$-algèbres
• Seminar on Atiyah-Singer Index Theorem. (AM-57)
• The index of elliptic operators on compact manifolds
• The stable mapping class group and \(Q(\mathbb C P^ \infty_ +)\).
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