置换等变量子K理论 X. 0亏格量子Hirzebruch-Riemann-Roch
代数几何
2020-04-23 v3
摘要
我们提取了第九部分中证明的全亏格量子HRR公式的0亏格推论。这包括重新证明并推广[Givental A., Tonita V., in Symplectic, Poisson, and Noncommutative Geometry, Math. Sci. Res. Inst. Publ., Vol. 62, Cambridge University Press, New York, 2014, 43-91]中给出的0亏格量子K理论的adelic刻画。推广第八部分的某些结果，我们推导了由置换等变量子K理论的0亏格后代势构造的某个簇（"大J函数"）在某些Novikov变量中的有限差分算子作用下的不变性，将此应用于从该簇上一点重构整个簇，并给出了点目标空间情形下的显式描述。
引用
@article{arxiv.1710.02376,
title = {Permutation-equivariant quantum K-theory X. Quantum Hirzebruch-Riemann-Roch in genus 0},
author = {Alexander Givental},
journal= {arXiv preprint arXiv:1710.02376},
year = {2020}
}
备注
20 pages, 1 figure; in version 2, the introduction is rewritten to correct the (previously incorrect) construction of variety L_X, and the formulation of the adelic characterization theorem; version 3 (published) improved exposition