A Splitting Formula for Punctured Gromov-Witten Invariants

Explore a 51-minute lecture on the splitting formula for punctured Gromov-Witten invariants, presented by Yixian Wu from the University of Texas at Austin. Delve into the extension of logarithmic Gromov-Witten theory known as punctured Gromov-Witten theory, developed by Abramovich-Chen-Gross-Siebert. Discover how this theory allows for marked points with negative order of tangency with boundary divisors and its significance in the intrinsic mirror symmetry construction of Gross and Siebert. Examine the tropical geometry encoding of the underlying combinatorial structures of punctured maps. Learn about a formula that reconstructs punctured invariants under the operation of splitting along edges, generalizing Jun Li's degeneration formula for logarithmic Gromov-Witten invariants. Gain insights into this new technique for computing Gromov-Witten invariants and its implications for the field.