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• #### The A-infinity Algebra of a Curve and the J-invariant ﻿

(University of Oregon, 2012)
We choose a generator G of the derived category of coherent sheaves on a smooth curve X of genus g which corresponds to a choice of g distinguished points P1, . . . , Pg on X. We compute the Hochschild cohomology of the ...
• #### Chern Character for Global Matrix Factorizations ﻿

(University of Oregon, 2013-10-03)
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. ...