2 citations · 4 across the 9 of their papers we have counts for
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Canonical pairing and Hirzebruch-Riemann-Roch formula for matrix factorizations
Hoil Kim, Taejung Kim
We formulate a realization of the canonical pairing in the negative cyclic homology of the category of local matrix factorizations and for global matrix factorizations, by introduc…
Higher residues and canonical pairing on the twisted de Rham cohomology
Hoil Kim, Taejung Kim
We describe an explicit formula of the canonical pairing on the twisted de Rham cohomology associated with the category of local matrix factorizations and by characterizing its rel…
Standard conjecture D for local stacky matrix factorizations
Bumsig Kim, Taejung Kim
We establish the non-commutative analogue of Grothendieck's standard conjecture D for the differential graded category of -equivariant matrix factorizations associated to an iso…
A chain-level HKR-type map and a Chern character formula
Kuerak Chung, Bumsig Kim, Taejung Kim
We construct a Hochschild-Kostant-Rosenberg-type quasi-isomorphism for the negative cyclic homology of the category of global matrix factorizations on a smooth separated scheme of…
Hyperelliptic curves and Hitchin tangential covers
Taejung Kim
In \cite{kim11} we have generalized a tangency condition in the Treibich-Verdier theory \cite{trei89,tv90,trei97} about elliptic solitons to a Hitchin system. As an application of…
Abel-Jacobi map under Schiffer variation
Taejung Kim
We characterize how to vary the Abel-Jacobi map in terms of Schiffer variation. From this characterization, we will interpret the relation of hyperellipticity of curves with Schiff…
Tangency and a ruled surface associated with a Hitchin system
Taejung Kim
We will generalize the Treibich-Verdier theory about elliptic solitons to a Hitchin system by constructing a particular ruled surface and we will propose a generalization of a tang…