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Speaker:
Amanda Hirshi
Affiliation:
Paris
Date:
Tue, 07/05/2024 - 13:00 - 14:00
Location:
MPIM Seminar Room
Parent event:
Bonn symplectic geometry seminar In 2021, Abouzaid, McLean and Smith achieved a breakthrough by constructing a global Kuranishi chart for moduli spaces of stable pseudoholomorphic maps in genus zero. In this talk, I will describe a generalisation of their construction for moduli spaces of stable maps of arbitrary genus and how this allows for a straightforward definition of Gromov-Witten invariants.
Subsequently, I will prove a formula for the Gromov-Witten invariants of a product manifold in terms of the invariants of its factors and outline how a similar argument can be used to show that the Kontsevich-Manin axioms are satisfied. This is joint work with Mohan Swaminathan.
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