论文标题

格拉斯曼尼亚人和非亚洲本地化的量子K理论

Quantum K-theory of grassmannians and non-abelian localization

论文作者

Givental, Alexander, Yan, Xiaohan

论文摘要

在复杂的硕士学位的示例中,我们演示了用于计算国旗歧管和更一般Quiver品种的属-0 K理论GW-Invariants的各种技术。 In particular, we address explicit reconstruction of all such invariants using finite-difference operators, the role of the q-hypergeometric series arising in the context of quasimap compactifications of spaces of rational curves in such varieties, the theory of twisted GW-invariants including level structures, as well as the Jackson-type integrals playing the role of equivariant K-theoretic mirrors.

In the example of complex grassmannians, we demonstrate various techniques available for computing genus-0 K-theoretic GW-invariants of flag manifolds and more general quiver varieties. In particular, we address explicit reconstruction of all such invariants using finite-difference operators, the role of the q-hypergeometric series arising in the context of quasimap compactifications of spaces of rational curves in such varieties, the theory of twisted GW-invariants including level structures, as well as the Jackson-type integrals playing the role of equivariant K-theoretic mirrors.

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