75 citations · 554 across the 50 of their papers we have counts for
55 papers
Ghost bubble censorship
Tobias Ekholm, Vivek Shende
When a Gromov limit of embedded holomorphic curves is constant on some component of the domain, the non-collapsed component must exhibit some degenerate behavior at the attaching p…
Branches, quivers, and ideals for knot complements
Tobias Ekholm, Angus Gruen, Sergei Gukov +4
We generalize the invariant, i.e. for the complement of a knot in the 3-sphere, the knots-quivers correspondence, and -polynomials of knots, and find sev…
Knot homologies and generalized quiver partition functions
Tobias Ekholm, Piotr Kucharski, Pietro Longhi
We conjecture a relation between generalized quiver partition functions and generating functions for symmetrically colored HOMFLY-PT polynomials and corresponding HOMFLY-PT homolog…
Chekanov-Eliashberg dg-algebras for singular Legendrians
Johan Asplund, Tobias Ekholm
The Chekanov-Eliashberg dg-algebra is a holomorphic curve invariant associated to Legendrian submanifolds of a contact manifold. We extend the definition to Legendrian embeddings o…
Colored HOMFLYPT counts holomorphic curves
Tobias Ekholm, Vivek Shende
We compute the contribution of all multiple covers of an isolated rigid embedded holomorphic annulus, stretching between Lagrangians, to the skein-valued count of open holomorphic…
Skein recursion for holomorphic curves and invariants of the unknot
Tobias Ekholm, Vivek Shende
We determine the skein-valued Gromov-Witten partition function for a single toric Lagrangian brane in or the resolved conifold. We first show geometrically they must…