Global Kuranishi charts for moduli spaces of stable pseudoholomorphic maps

Speaker:

Amanda Hirshi

Zugehörigkeit:

Paris

Datum:

Die, 07/05/2024 - 13:00 - 14:00

Location:

MPIM Seminar Room [2]

Parent event:

Bonn symplectic geometry seminar [3]

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.