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math.QA2022
Genera from an algebraic index theorem for supermanifolds
Araminta Amabel
We prove a super-version of Nest-Tsygan's algebraic index theorem. This work is inspired by the appearance of the same cobordism invariants in three related stories: index theory,…
math.QA2021
Deformation Quantization for Supermanifolds via Gelfand-Kazhdan Descent
Araminta Amabel
We construct a canonical deformation quantization for symplectic supermanifolds. This gives a novel proof of the super-analogue of Fedosov quantization. Our proof uses the formalis…