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math.AG2026
Lagrangian classes in K-theory
Dongwook Choa, Jeongseok Oh
For a -shifted Lagrangian in a critical locus, we construct a homomorphism from the -group of matrix factorisations of the critical locus to the -group of the Lagrangia…
math.AG2022
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…