118 citations · 569 across the 39 of their papers we have counts for
40 papers
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…
Chern characters for curved dg-algebras
Kuerak Chung, Bumsig Kim, Taejung Kim
We construct a quasi-inverse of the cochain map on the negative cyclic complexes of the second kind induced from the quasi-Yoneda embedding on a curved dg algebra. This gives an ex…
Riemann-Roch for stacky matrix factorizations
Dongwook Choa, Bumsig Kim, Bhamidi Sreedhar
We establish a Hirzebruch-Riemann-Roch type theorem and Grothendieck-Riemann-Roch type theorem for matrix factorizations on quotient Deligne-Mumford stacks. For this we first const…
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…
Hirzebruch-Riemann-Roch for global matrix factorizations
Bumsig Kim
We prove a Hirzebruch-Riemann-Roch type formula for global matrix factorizations. This is established by an explicit realization of the abstract Hirzebruch-Riemann-Roch type formul…
General GLSM Invariants and Their Cohomological Field Theories
David Favero, Bumsig Kim
We construct GLSM invariants for a general choice of stability in both the narrow and broad sector cases and prove they form a Cohomological Field Theory. This is obtained by formi…