Year: 2025
Type: preprint
Abstract: 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.
Source: arXiv (Cornell University)
Authors: Blomme, Thomas, Carocci, Francesca
Institutions: University of Neuchâtel, University of Rome Tor Vergata
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4415337208
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