Browsing Scholarly Works by Author "Polishchuk, Alexander"

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  • The A-infinity Algebra of a Curve and the J-invariant 
    Fisette, Robert (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 
    Platt, David (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. ...
  • Equivariant Derived Categories Associated to a Sum of Potentials 
    Lim, Bronson (University of Oregon, 2017-09-06)
    We construct a semi-orthogonal decomposition for the equivariant derived category of a hypersurface associated to the sum of two potentials. More specifically, if $f,g$ are two homogeneous poynomials of degree $d$ defining ...
  • Moduli Space of A-Infinity Structures and Nonreduced Curves of Genus 0 
    Zhang, Wei (University of Oregon, 2022-10-04)
    In this thesis, we study $A_\infty$-structures arising from derived categories of certain algebraic curves. More precisely, we consider pairs $(\mathcal{O}_C,\mathcal{O}_D)$, where $C$ is an irreducible projective curve ...

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