Quantum Module of Semipositive Toric Varieties
Time: 2025-05-16
Published By: He Liu
Speaker(s): Jaehwang Lee(BICMR)
Time: 14:30-15:30 May 19, 2025
Venue: Room 77201, Jingchunyuan 78, BICMR
Quantum cohomology is an interesting object to both mathematicians and physicists due to its relation to string theory. Its product structure, called the quantum product, deforms the product structure of the ordinary cohomology ring, where the definition is given by 3-pointed Gromov-Witten invariants. One can use 2|1-quasimap invariants, which are similar to Gromov-Witten invariants, to define such a quantum deformation. In this case, it defines no longer a product structure, but a (quantum) module structure. This structure is very similar to the WDVV equations. The semipositive conjecture asks if the quantum module is the same as the Batyrev module for all smooth projectve toric semipositive varieties. In this talk, a proof will be given.
