Cut and paste invariants of manifolds via algebraic \(K\)-theory

DOI10.1016/j.topol.2022.108105zbMath1490.19003arXiv2001.00176OpenAlexW2996786469WikidataQ114127980 ScholiaQ114127980MaRDI QIDQ2145904

Laura Murray, Carmen Rovi, Renee S. Hoekzema, Julia Semikina, Mona Merling

Publication date: 15 June 2022

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.00176

zbMATH Keywords

\(K\)-theory\(K\)-theory of manifoldscut and paste

Mathematics Subject Classification ID

(K)-theory and homology; cyclic homology and cohomology (19D55) (K_0) of other rings (19A49) Higher algebraic (K)-theory (19D99) Low-dimensional topology in specific dimensions (57K99)

Cites Work

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• The \(K\)-theory of assemblers
• Derived \(\ell\)-adic zeta functions
• The annihilator of the Lefschetz motive
• A vanishing theorem for characteristic classes of odd-dimensional manifold bundles
• The $K$-theory spectrum of varieties

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