Topological K-theory of complex noncommutative spaces
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Publication:2805051
DOI10.1112/S0010437X15007617zbMath1343.14003arXiv1211.7360OpenAlexW3105205843MaRDI QIDQ2805051
Publication date: 9 May 2016
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1211.7360
Noncommutative algebraic geometry (14A22) (K)-theory and homology; cyclic homology and cohomology (19D55)
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Some remarks on topological 𝐾-theory of dg categories ⋮ The integral Hodge conjecture for two-dimensional Calabi–Yau categories ⋮ Orientation data for moduli spaces of coherent sheaves over Calabi-Yau 3-folds ⋮ Trace and Künneth formulas for singularity categories and applications ⋮ On the nilinvariance property of the semitopological K-theory of dg-categories and its applications ⋮ Formulae in noncommutative Hodge theory ⋮ Orientability of moduli spaces of \(\mathrm{Spin}(7)\)-instantons and coherent sheaves on Calabi-Yau 4-folds ⋮ Noncommutative Hodge conjecture ⋮ Counting sheaves on curves ⋮ Infinitesimal categorical Torelli theorems for Fano threefolds ⋮ Virasoro constraints for moduli of sheaves and vertex algebras ⋮ Homogeneity of cohomology classes associated with Koszul matrix factorizations ⋮ Equivariant Hodge theory and noncommutative geometry ⋮ Lectures on Non-commutative K3 Surfaces, Bridgeland Stability, and Moduli Spaces ⋮ Combinatorial constructions of derived equivalences ⋮ The \(\ell \)-adic trace formula for dg-categories and Bloch's conductor conjecture ⋮ Derived Azumaya algebras and twisted \(K\)-theory ⋮ Orientations for DT invariants on quasi-projective Calabi-Yau 4-folds ⋮ Generators for Hall algebras of surfaces ⋮ Betti realization of varieties defined by formal Laurent series ⋮ Generators for Hall algebras of surfaces ⋮ -homotopy invariants of topological Fukaya categories of surfaces ⋮ Universal structures in \(\mathbb{C}\)-linear enumerative invariant theories ⋮ Categorical measures for finite group actions
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