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Topological $K$-theory of equivariant singularity categories
Homology, Homotopy and Applications ( IF 0.5 ) Pub Date : 2020-01-01 , DOI: 10.4310/hha.2020.v22.n2.a1 Michael K. Brown 1 , Tobias Dyckerhoff 2
Homology, Homotopy and Applications ( IF 0.5 ) Pub Date : 2020-01-01 , DOI: 10.4310/hha.2020.v22.n2.a1 Michael K. Brown 1 , Tobias Dyckerhoff 2
Affiliation
We study the topological K-theory spectrum of the dg singularity category associated to a weighted projective complete intersection. We calculate the topological K-theory of the dg singularity category of a weighted projective hypersurface in terms of its Milnor fiber and monodromy operator, and, as an application, we obtain a lift of the Atiyah-Bott-Shapiro construction to the level of spectra.
中文翻译:
等变奇点范畴的拓扑$K$理论
我们研究了与加权投影完全交集相关的 dg 奇点类别的拓扑 K 理论谱。我们计算加权投影超曲面的 dg 奇点范畴的拓扑 K 理论,根据其 Milnor 纤维和单值算子,作为应用,我们将 Atiyah-Bott-Shapiro 构造提升到谱水平.
更新日期:2020-01-01
中文翻译:
等变奇点范畴的拓扑$K$理论
我们研究了与加权投影完全交集相关的 dg 奇点类别的拓扑 K 理论谱。我们计算加权投影超曲面的 dg 奇点范畴的拓扑 K 理论,根据其 Milnor 纤维和单值算子,作为应用,我们将 Atiyah-Bott-Shapiro 构造提升到谱水平.