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Showing 1 to 4 of 4 for “"Chern Character"”.
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Chern Character for Global Matrix Factorizations
We give a formula for the Chern character on the DG category of global matrix factorizations on a smooth scheme $X$ with superpotential $w\in \Gamma(\O_X)$. Our formula takes values in a Cech model for Hochschild homology. Our methods may also be adapted to get an explicit formula for the Chern …
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The odd chern character and obstruction theory
… Douglas, [BmDg] the odd-degree component of the Chern character is is analyzed. Our presentation uses the obstruction theory definition Chern characteristic classes in order to emphasize the connections with the even-degree component (see Theorem 4.3.1) and leads to a natural justification of the …
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Smooth K-theory and locally convex algebras
… relationship between the universal even and odd Chern characters and periodicity is investigated, giving correspondences between the various representatives in the form of family index theorems for loop groups. In the discussion Ko and the even Chern character are primarily formulated in the …
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K-theoretic Hall algebras for quivers with potential
… and compare the KHA and the CoHA using the Chern character. As before, we expect our construction for the special class of quivers (Q̃, W̃) to recover the positive part of quantum affine algebra U[subscript q]([subscript gQ]) defined by Okounkov-Smirnov, but for general pairs (Q, W) we …