Correlated double ramification cycle formula
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912615049986048 |
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| author | Blomme, Thomas Carocci, Francesca |
| author_facet | Blomme, Thomas Carocci, Francesca |
| contents | We prove a refinement of Pixton's formula for the double ramification cycle with target variety which takes into account the correlator of a rubber map previously introduced by the authors. To do so, we need to: reinterpret the correlator in terms of (logarithmic) roots of the trivial line bundle; refine the natural stratification of the boundary of moduli of maps to keep track of how torsion line bundles on the target variety pull-back. We apply the refined DR cycle formula to compute 0-correlated invariants for genus g curve with points and a $λ$-class insertion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_24721 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Correlated double ramification cycle formula Blomme, Thomas Carocci, Francesca Algebraic Geometry We prove a refinement of Pixton's formula for the double ramification cycle with target variety which takes into account the correlator of a rubber map previously introduced by the authors. To do so, we need to: reinterpret the correlator in terms of (logarithmic) roots of the trivial line bundle; refine the natural stratification of the boundary of moduli of maps to keep track of how torsion line bundles on the target variety pull-back. We apply the refined DR cycle formula to compute 0-correlated invariants for genus g curve with points and a $λ$-class insertion. |
| title | Correlated double ramification cycle formula |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2509.24721 |