6 papers · 1 filter
Experiments with membranes, maps and sheaves
Daniel Holmes, Yannik Schuler
Motivated by the conjectural existence of M-theory, we investigate a web of correspondences between enumerative invariants of a Calabi-Yau fivefold with a torus action. This in…
Membranes and Maps
Alessandro Giacchetto, Rahul Pandharipande, Yannik Schuler
In positive degree, equivariant Gromov-Witten invariants of Calabi-Yau fivefolds are expected to admit an interpretation in terms of M2-branes, while we conjecture that constant ma…
Gromov-Witten invariants and membrane indices of fivefolds via the topological vertex
Yannik Schuler
We conjecture the existence of almost integer invariants governing the all-genus equivariant Gromov-Witten theory of Calabi-Yau fivefolds with a torus action. We prove the conjectu…
Refined Gromov-Witten invariants
Andrea Brini, Yannik Schuler
We study the enumerative geometry of stable maps to Calabi-Yau 5-folds with a group action preserving the Calabi-Yau form. In the central case , where…
The log-open correspondence for two-component Looijenga pairs
Yannik Schuler
A two-component Looijenga pair is a rational smooth projective surface with an anticanonical divisor consisting of two transversally intersecting curves. We establish an all-genus…
Gromov-Witten theory of bicyclic pairs
Michel van Garrel, Navid Nabijou, Yannik Schuler
A bicyclic pair is a smooth surface equipped with a pair of smooth divisors intersecting in two reduced points. Resolutions of self-nodal curves constitute an important special cas…