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Theses

Categorified quasimap theory of derived Deligne–Mumford stacks

Abstract : This thesis extends the results of Mann–Robalo [MR18] on the categorification of Gromov–Witten invariants to stacktargets. This requires constructing a brane action for certain coloured ∞-operads, for which we developa language for lax morphisms as well as a dendroidal version of monoidal envelopes. We finally obtainan action on a cyclotomic loop stack, given by moduli stacks of stable quasimaps. An application to the categorification of the quantum Lefschetz principle is also provided.
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Submitted on : Wednesday, January 12, 2022 - 10:53:07 AM
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David Kern. Categorified quasimap theory of derived Deligne–Mumford stacks. General Mathematics [math.GM]. Université d'Angers, 2021. English. ⟨NNT : 2021ANGE0020⟩. ⟨tel-03522560⟩

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