Tobias Ekholm

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

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

(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

Chekanov-Eliashberg dg-algebras for singular Legendrians

Asplund, Johan; Ekholm, Tobias

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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