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math.AG2019★ 1 cited
Equivariant Grothendieck-Riemann-Roch theorem via formal deformation theory
Grigory Kondyrev, Artem Prikhodko
We use the formalism of traces in higher categories to prove a common generalization of the holomorphic Atiyah-Bott fixed point formula and the Grothendieck-Riemann-Roch theorem. T…
math.AG2016★ 3 cited
Categorical proof of Holomorphic Atiyah-Bott formula
Grigory Kondyrev, Artem Prikhodko
Given a symmetric monoidal -category we promote the trace construction to a functor. We then apply this formalism to the case when is the $(\…