8 papers
A correlated refinement of the double double ramification cycle
Thomas Blomme, Francesca Carocci, Ajith Urundolil Kumaran
Given a family of semi-stable curves together with two degree 0 line bundles, the double double ramification cycle measures the locus where both line bundles are trivial on the fib…
Refined invariants for Abelian surfaces: between polynomiality and modularity
Thomas Blomme, Gurvan Mével
Tropical refined invariants for toric surfaces, introduced Block and G{ö}ttsche, are obtained couting tropical curves with a Laurent polynomial multiplicity. Brugall{é} and Jaram…
Multiple cover formulas for abelian surfaces via correlated invariants
Thomas Blomme, Francesca Carocci
We prove the multiple cover formula conjecture for abelian surfaces for a large class of insertions, including all stationary invariants. The proof uses the reduced degeneration fo…
Correlated double ramification cycle formula
Thomas Blomme, Francesca Carocci
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…
Correlated Gromov-Witten Invariants
Thomas Blomme, Francesca Carocci
We introduce a geometric refinement of Gromov-Witten invariants for -bundles relative to the natural fiberwise boundary structure. We call these refined invariant corr…
On the double tangent of projective closed curves
Thomas Blomme
We generalize a previous result by Fabricius-Bjerre from curves in to curves in . Applied to the case of real algebraic curves, this recovers the signe…