Two reconstruction theorems in permutation equivariant quantum K-theory

2024/11/12 by Tang, Dun
#14N35 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2411.07487

Abstract

In this paper, we first generalize the K-theoretic Ancestor-Descendant (AD) correspondence in \citeperm7 to allow arbitrary permutative inputs. With this version of AD correspondence, we reconstruct K-theoretical descendant g=0 invariants, and g=1 invariants with point target space, from 1-point invariants of the corresponding genus. In the appendix, we show that the graph of big J function also forms a Lagrangian cone in the permutation equivariant setting.

Related

• Permutation-equivariant quantum K-theory VII. General theory
• Reconstruction of g=1 permutation equivariant quantum K-invariants
• Permutation-equivariant quantum K-theory VIII. Explicit reconstruction
• Permutation-equivariant quantum K-theory IX. Quantum Hirzebruch-Riemann-Roch in all genera
• Permutation-equivariant quantum K-theory III. Lefschetz' formula on\n \M_0,n/S_n and adelic characterization