Geodesic
Topological $K$-theory of equivariant singularity categories
Homology, homotopy, and applications, Tome 22 (2020) no. 2, pp. 1-29.

Voir la notice de l'article provenant de la source International Press of Boston

We study the topological $K$-theory spectrum of the $\operatorname{dg}$ singularity category associated to a weighted projective complete intersection. We calculate the topological $K$-theory of the $\operatorname{dg}$ singularity category of a weighted projective hypersurface in terms of its affine Milnor fiber and monodromy operator, and, as an application, we obtain a lift of the Atiyah–Bott–Shapiro construction to the level of spectra.
DOI : 10.4310/HHA.2020.v22.n2.a1
Classification : 14A22, 18D20, 19D55, 19L47, 32S55
Keywords: $\operatorname{dg}$-category, matrix factorization, Milnor fiber, topological $K$-theory 
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     author = {Michael K. Brown and Tobias Dyckerhoff},
     title = {Topological $K$-theory of equivariant singularity categories},
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     pages = {1--29},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2020.v22.n2.a1/}
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Michael K. Brown; Tobias Dyckerhoff. Topological $K$-theory of equivariant singularity categories. Homology, homotopy, and applications, Tome 22 (2020) no. 2, pp. 1-29. doi : 10.4310/HHA.2020.v22.n2.a1. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2020.v22.n2.a1/

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