Two reconstruction theorems in permutation equivariant quantum K-theory
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915145170550784 |
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| author | Tang, Dun |
| author_facet | Tang, Dun |
| contents | In this paper, we first generalize the K-theoretic Ancestor-Descendant (AD) correspondence in \cite{perm7} 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 $\mathcal{J}$ function also forms a Lagrangian cone in the permutation equivariant setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_07487 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Two reconstruction theorems in permutation equivariant quantum K-theory Tang, Dun Algebraic Geometry 14N35 In this paper, we first generalize the K-theoretic Ancestor-Descendant (AD) correspondence in \cite{perm7} 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 $\mathcal{J}$ function also forms a Lagrangian cone in the permutation equivariant setting. |
| title | Two reconstruction theorems in permutation equivariant quantum K-theory |
| topic | Algebraic Geometry 14N35 |
| url | https://arxiv.org/abs/2411.07487 |