Quantum Module of Semipositive Toric Varieties
发布时间：2025年05月16日
浏览次数：360
发布者: He Liu
主讲人： Jaehwang Lee(BICMR)
活动时间： 从 2025-05-19 14:30 到 15:30
场地： 北京国际数学研究中心，镜春园78号院（怀新园）77201室
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.
