On Mathieu moonshine and Gromov-Witten invariants
نویسندگان
چکیده
منابع مشابه
Gromov-Witten invariants on Grassmannians
We prove that any three-point genus zero Gromov-Witten invariant on a type A Grassmannian is equal to a classical intersection number on a two-step flag variety. We also give symplectic and orthogonal analogues of this result; in these cases the two-step flag variety is replaced by a sub-maximal isotropic Grassmannian. Our theorems are applied, in type A, to formulate a conjectural quantum Litt...
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We define relative Gromov-Witten invariants of a symplectic manifold relative to a codimension-two symplectic submanifold. These invariants are the key ingredients in the symplectic sum formula of [IP4]. The main step is the construction of a compact space of ‘V -stable’ maps. Simple special cases include the Hurwitz numbers for algebraic curves and the enumerative invariants of Caporaso and Ha...
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We define tropical Psi-classes on M 0,n (R 2 , d) and consider intersection products of Psi-classes and pull-backs of evaluations on this space. We show a certain WDVV equation which is sufficient to prove that tropical numbers of curves satisfying certain Psi-and evaluation conditions are equal to the corresponding classical numbers. We present an algorithm that generalizes Mikhalkin's lattice...
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The group (Z/nZ) is shown to act on the Gromov-Witten invariants of the complex flag manifold. We also deduce several corollaries of this result.
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0.1. What this is. This text came out of my CIME minicourse at Cetraro, June 6-11, 2005. I kept the text relatively close to what actually happened in the course. In particular, because of last minutes changes in schedule, the lectures on usual Gromov–Witten theory started after I gave two lectures, so I decided to give a sort of introduction to non-orbifold Gromov–Witten theory, including an e...
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2020
ISSN: 1029-8479
DOI: 10.1007/jhep02(2020)082