Tobias Ekholm

Ghost bubble censorship

Ekholm, Tobias; Shende, Vivek

Part of Communications in analysis and geometry, p. 1815-1863, 2025

DOI for Ghost bubble censorship

Augmentations, annuli, and Alexander polynomials

Diogo, Luis; Ekholm, Tobias

Part of Journal of differential geometry, p. 541-616, 2025

DOI for Augmentations, annuli, and Alexander polynomials

Colored HOMFLYPT counts holomorphic curves

Ekholm, Tobias; Shende, Vivek

Part of Proceedings of the National Academy of Sciences of the United States of America, 2025

Skein recursion for holomorphic curves and invariants of the unknot

Ekholm, Tobias; Shende, Vivek

Part of Comptes rendus. Mathematique, p. 1543-1554, 2025

Knot homologies and generalized quiver partition functions

Ekholm, Tobias; Kucharski, Piotr; Longhi, Pietro

Part of Letters in Mathematical Physics, 2023

Duality between Lagrangian and Legend

Ekholm, Tobias; Lekili, Yanki

Part of Geometry and Topology, p. 2049-2179, 2023

Chekanov-Eliashberg dg-algebras for singular Legendrians

Asplund, Johan; Ekholm, Tobias

Part of The Journal of Symplectic Geometry, p. 509-559, 2022

(Z )over-cap at Large N: From Curve Counts to Quantum Modularity

Ekholm, Tobias; Gruen, Angus; Gukov, Sergei; Kucharski, Piotr et al.

Part of Communications in Mathematical Physics, p. 143-186, 2022

DOI for (Z )over-cap at Large N: From Curve Counts to Quantum Modularity

Branches, quivers, and ideals for knot complements

Ekholm, Tobias; Gruen, Angus; Gukov, Sergei; Kucharski, Piotr et al.

Part of Journal of Geometry and Physics, 2022

DOI for Branches, quivers, and ideals for knot complements

Refined disk potentials for immersed lagrangian surfaces

Dimitroglou Rizell, Georgios; Ekholm, Tobias; Tonkonog, Dmitry

Part of Journal of differential geometry, p. 459-539, 2022

DOI for Refined disk potentials for immersed lagrangian surfaces

Higher genus knot contact homology and recursion for colored HOMFLY-PT polynomials

Ekholm, Tobias; Ng, Lenhard

Part of Advances in Theoretical and Mathematical Physics, p. 2067-2145, 2020

DOI for Higher genus knot contact homology and recursion for colored HOMFLY-PT polynomials

Physics and geometry of knots-quivers correspondence

Ekholm, Tobias; Kucharski, Piotr; Longhi, Pietro

Part of Communications in Mathematical Physics, p. 361-415, 2020

DOI for Physics and geometry of knots-quivers correspondence

Multi-cover skeins, quivers, and 3d N=2 dualities

Ekholm, Tobias; Kucharski, Piotr; Longhi, Pietro

Part of Journal of High Energy Physics (JHEP), 2020

Nearby Lagrangian fibers and Whitney sphere links

Ekholm, Tobias; Smith, Ivan

Part of Compositio Mathematica, p. 685-718, 2018

DOI for Nearby Lagrangian fibers and Whitney sphere links

A complete knot invariant from contact homology

Ekholm, Tobias; Ng, Lenhard; Shende, Vivek

Part of Inventiones Mathematicae, p. 1149-1200, 2018

DOI for A complete knot invariant from contact homology

Symplectic and contact differential graded algebras

Ekholm, Tobias; Oancea, Alexandru

Part of Geometry and Topology, p. 2161-2230, 2017

Lagrangian exotic spheres

Ekholm, Tobias; Kragh, Thomas; Smith, Ivan

Part of Journal of Topology and Analysis (JTA), p. 375-397, 2016

DOI for Lagrangian exotic spheres

Non-loose Legendrian spheres with trivial contact homology DGA

Ekholm, Tobias

Part of Journal of Topology, p. 826-848, 2016

DOI for Non-loose Legendrian spheres with trivial contact homology DGA

EXACT LAGRANGIAN IMMERSIONS WITH A SINGLE DOUBLE POINT

Ekholm, Tobias; Smith, Ivan

Part of Journal of The American Mathematical Society, p. 1-59, 2016

Legendrian knots and exact Lagrangian cobordisms

Ekholm, Tobias; Honda, Ko; Kalman, Tamas

Part of Journal of the European Mathematical Society (Print), p. 2627-2689, 2016

DOI for Legendrian knots and exact Lagrangian cobordisms

Legendrian contact homology in the boundary of a subcritical Weinstein 4-manifold

Ekholm, Tobias; Ng, Lenhard

Part of Journal of differential geometry, p. 67-157, 2015

Topological Strings, D-Model, and Knot Contact Homology

Ekholm, Tobias; Aganagic, Mina; Ng, Lenhard; Vafa, Cumrun

Part of Advances in Theoretical and Mathematical Physics, p. 827-956, 2014

DOI for Topological Strings, D-Model, and Knot Contact Homology

Construction of a closed polymer network for computer simulations

Kamerlin, Natasha; Ekholm, Tobias; Carlsson, Tobias; Elvingson, Christer

Part of Journal of Chemical Physics, p. 154113, 2014

DOI for Construction of a closed polymer network for computer simulations

Exact Lagrangian immersions with one double point revisited

Ekholm, Tobias; Smith, Ivan

Part of Mathematische Annalen, p. 195-240, 2014

DOI for Exact Lagrangian immersions with one double point revisited

Constructing exact Lagrangian immersions with few double points

Ekholm, Tobias; Eliashberg, Yakov; Murphy, Emmy; Smith, Ivan

Part of Geometric and Functional Analysis, p. 1772-1803, 2013

DOI for Constructing exact Lagrangian immersions with few double points

Knot contact homology

Ekholm, Tobias; Etnyre, John; Ng, Lenhard; Sullivan, Michael

Part of Geometry and Topology, p. 975-1112, 2013

DOI for Knot contact homology

Filtrations on the knot contact homology of transverse knots

Ekholm, Tobias; Etnyre, John; Ng, Lenhard; Sullivan, Michael

Part of Mathematische Annalen, p. 1561-1591, 2013

DOI for Filtrations on the knot contact homology of transverse knots

Effect of Legendrian Surgery

Bourgeois, Frederic; Ekholm, Tobias; Eliashberg, Yakov; Ganatra, Sheel et al.

Part of Geometry and Topology, p. 301-389, 2012

DOI for Effect of Legendrian Surgery

Symplectic homology product via Legendrian surgery

Bourgeois, Frederic; Ekholm, Tobias; Eliashberg, Yakov

Part of Proceedings of the National Academy of Sciences of the United States of America, p. 8114-8121, 2011

DOI for Symplectic homology product via Legendrian surgery

Singular Seifert surfaces and Smale invariants for a family of 3-sphere immersions

Ekholm, Tobias; Takase, Masamichi

Part of Bulletin of the London Mathematical Society, p. 251-266, 2011

DOI for Singular Seifert surfaces and Smale invariants for a family of 3-sphere immersions

Compactness for holomorphic curves with switching Lagrangian boundary conditions

Cieliebak, Kai; Ekholm, Tobias; Latschev, Janko

Part of The Journal of Symplectic Geometry, p. 267-298, 2010

Algorithm for generating a Brownian motion on a sphere

Carlsson, Tobias; Ekholm, Tobias; Elvingson, Christer

Part of Journal of physics A: Mathematical and theoretical, p. 505001, 2010

DOI for Algorithm for generating a Brownian motion on a sphere

A duality exact sequence for legendrian contact homology

Ekholm, Tobias; Etnyre, John; Sabloff, Josh

Part of Duke mathematical journal, p. 1-75, 2009

DOI for A duality exact sequence for legendrian contact homology

Isotopies of Legendrian 1-knots and Legendrian 2-tori

Ekholm, Tobias; Kalman, Tamas

Part of The Journal of Symplectic Geometry, p. 407-460, 2008

Rational symplectic field theory over Z_2 for exact Lagrangian cobordisms

Ekholm, Tobias

Part of Journal of the European Mathematical Society (Print), p. 641-704, 2008

DOI for Rational symplectic field theory over Z_2 for exact Lagrangian cobordisms

A note on Reeb dynamics on the tight 3-sphere

Bourgeois, Frederic; Ekholm, Tobias; Cieliebak, Kai

Part of Journal of Modern Dynamics, p. 597-613, 2007

Cobordisms of fold maps and maps with a prescribed number of cusps

Ekholm, Tobias; Szucs, Andras; Terpai, Tamas

Part of Kyushu Journal of Mathematics, p. 395-414, 2007

DOI for Cobordisms of fold maps and maps with a prescribed number of cusps

Morse flow trees and Legendrian contact homology in 1-jet spaces

Ekholm, Tobias

Part of Geometry and Topology, p. 1083-1224, 2007

DOI for Morse flow trees and Legendrian contact homology in 1-jet spaces

Legendrian contact homology in P x R

Ekholm, Tobias; Etnyre, John B.; Sullivan, Michael G.

Part of Transactions of the American Mathematical Society, p. 3301-3335, 2007

DOI for Legendrian contact homology in P x R

Regular homotopy and total curvature. II. Sphere immersions into 3-space

Ekholm, Tobias

Part of Algebraic and Geometric Topology, p. 493-512, 2006

DOI for Regular homotopy and total curvature. II. Sphere immersions into 3-space

Regular homotopy and total curvature. I. Circle immersions into surfaces

Ekholm, Tobias

Part of Algebraic and Geometric Topology, p. 459-492, 2006

DOI for Regular homotopy and total curvature. I. Circle immersions into surfaces

Double points of exact Lagrangian immersions and Legendrian contact homology

Ekholm, Tobias

Part of Clay Mathematics Proceedings, p. 181, 2006

Computer simulations of polymer chain structure and dynamics on a hypersphere in four-space

Råsmark, Per Johan; Ekholm, Tobias; Elvingson, Christer

Part of Journal of Chemical Physics, p. 184110, 2005

DOI for Computer simulations of polymer chain structure and dynamics on a hypersphere in four-space

The group of immersions of homotopy (4k-1)-spheres

Ekholm, Tobias; Szucs, Andras

Part of Bulletin of the London Mathematical Society, p. 163-176, 2005

DOI for The group of immersions of homotopy (4k-1)-spheres

Minimizing singularities of generic plane disks with immersed boundaries

Ekholm, Tobias; Larsson, Ola

Part of Ark. Mat., p. 347, 2005

Orientations in Legendrian contact homology and exact Lagrangian immersions.

Ekholm, Tobias; Etnyre, John; Sullivan, Michael

Part of Internat. J. Math., p. 453, 2005

Total curvature and area of curves with cusps and of surface maps

Ekholm, Tobias; Kutzschebauch, Frank

Part of Math. Scand., p. 224, 2005

The contact homology of Legendrian submanifolds in R^{2n+1}

Ekholm, Tobias; Etnyre, John; Sullivan, Michael

Part of J. Differential Geom., p. 177, 2005

Non-isotopic Legendrian submanifolds in R^{2n+1}

Ekholm, Tobias; Etnyre, John; Sullivan, Michael

Part of J. Differential Geom., p. 85-128, 2005

Invariants of knots, embeddings and immersions via contact geometry

Ekholm, Tobias; Etnyre, John

Part of Fields Inst. Commun., p. 77, 2005

Brownian dynamics simulations on a hypersphere in 4-space

Nissfolk, Jarl; Ekholm, Tobias; Elvingson, Christer

Part of Journal of Chemical Physics, p. 6423-6432, 2003

DOI for Brownian dynamics simulations on a hypersphere in 4-space

Geometric formulas for Smale invariants of codimension two immersions

Ekholm, Tobias; Szücs, András

Part of Topology, p. 171-196, 2003

DOI for Geometric formulas for Smale invariants of codimension two immersions

The complex shade of a real space, and its applications

Ekholm, Tobias

Part of Algebra i Analiz, p. 56-91, 2002

Embeddedness of minimal surfaces with total boundary curvature at most 4 pi

Ekholm, Tobias; White, Brian; Wienholtz, Daniel

Part of Ann. of Math. (2), p. 209-234, 2002

On the triple points of singular maps

Ekholm, Tobias; Szucs, András

Part of Comment. Math. Helv., p. 408-414, 2002

Framed holonomic knots

Ekholm, Tobias; Wolff, Maxime

Part of Algebr. Geom. Topol. (electronic), p. 449-463, 2002

Differential 3-knots in 5-space with and without self-intersections

Ekholm, Tobias

Part of TOPOLOGY, p. 157-196, 2001

Invariants of generic immersions

Ekholm, Tobias

Part of Pacific Journal of Mathemtics, p. 321-345, 2001

Self-intersection surfaces, regular homotopoy, and finite order invariants

Ekholm, Tobias

Part of St. Petersburg Mathematical Journal, p. 909-929, 2000

Total curvatures of holonomic links

Ekholm, Tobias; Weistrand, Ola

Part of JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, p. 893-906, 2000

Immersions in the metastable range and spin structures on surfaces

Ekholm, Tobias

Part of Mathematica Scandinavica, p. 5-41, 1998

Regular homotopy and Vassiliev Invariants of generic immesrions $S^k \to R^{2k-1}$

Ekholm, Tobias

Part of Journal of not Theory and Its Ramifcations, p. 1041-1064, 1998

Publications

Recent publications

All publications

Articles in journal

Articles, review/survey

Conference papers

Manuscripts (preprints)