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Ekholm, Tobias

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Author ID: ekholm.tobias Recent zbMATH articles by "Ekholm, Tobias"
Published as: Ekholm, Tobias; Ekholm, T.
External Links: MGP
Documents Indexed: 57 Publications since 1998
Reviewing Activity: 26 Reviews

Publications by Year

Citations contained in zbMATH Open

46 Publications have been cited 536 times in 226 Documents Cited by Year
Non-isotopic Legendrian submanifolds in \(\mathbb R^{2n+1}\). Zbl 1098.57013
Ekholm, Tobias; Etnyre, John; Sullivan, Michael
45
2005
Effect of Legendrian surgery. Zbl 1322.53080
Bourgeois, Frédéric; Ekholm, Tobias; Eliashberg, Yakov
45
2012
The contact homology of Legendrian submanifolds in \(\mathbb R^{2n+1}\). Zbl 1103.53048
Ekholm, Tobias; Etnyre, John; Sullivan, Michael
41
2005
Legendrian contact homology in \(P \times \mathbb{R}\). Zbl 1119.53051
Ekholm, Tobias; Etnyre, John; Sullivan, Michael
36
2007
Orientations in Legendrian contact homology and exact Lagrangian immersions. Zbl 1076.53099
Ekholm, Tobias; Etnyre, John; Sullivan, Michael
34
2005
Topological strings, D-model, and knot contact homology. Zbl 1315.81076
Aganagic, Mina; Ekholm, Tobias; Ng, Lenhard; Vafa, Cumrun
28
2014
Legendrian knots and exact Lagrangian cobordisms. Zbl 1357.57044
Ekholm, Tobias; Honda, Ko; Kálmán, Tamás
26
2016
A duality exact sequence for Legendrian contact homology. Zbl 1193.53179
Ekholm, Tobias; Etnyre, John B.; Sabloff, Joshua M.
24
2009
Morse flow trees and Legendrian contact homology in 1-jet spaces. Zbl 1162.53064
Ekholm, Tobias
21
2007
Knot contact homology. Zbl 1267.53095
Ekholm, Tobias; Etnyre, John B.; Ng, Lenhard; Sullivan, Michael G.
20
2013
Embeddedness of minimal surfaces with total boundary curvature at most \(4\pi\). Zbl 1017.53013
Ekholm, Tobias; White, Brian; Wienholtz, Daniel
18
2002
Rational SFT, linearized Legendrian contact homology, and Lagrangian Floer cohomology. Zbl 1254.57024
Ekholm, Tobias
18
2012
Constructing exact Lagrangian immersions with few double points. Zbl 1283.53074
Ekholm, Tobias; Eliashberg, Yakov; Murphy, Emmy; Smith, Ivan
16
2013
Rational symplectic field theory over \(\mathbb Z_{2}\) for exact Lagrangian cobordisms. Zbl 1154.57020
Ekholm, Tobias
15
2008
Isotopies of Legendrian 1-knots and Legendrian 2-tori. Zbl 1206.57030
Ekholm, Tobias; Kálmán, Tamás
13
2008
Symplectic homology product via Legendrian surgery. Zbl 1256.53049
Bourgeois, Frédéric; Ekholm, Tobias; Eliashberg, Yakov
12
2011
Compactness for holomorphic curves with switching Lagrangian boundary conditions. Zbl 1206.53083
Cieliebak, K.; Ekholm, T.; Latschev, J.
11
2010
A note on Reeb dynamics on the tight 3-sphere. Zbl 1181.57035
Bourgeois, Frédéric; Cieliebak, Kai; Ekholm, Tobias
10
2007
Filtrations on the knot contact homology of transverse knots. Zbl 1271.53077
Ekholm, Tobias; Etnyre, John; Ng, Lenhard; Sullivan, Michael
10
2013
A complete knot invariant from contact homology. Zbl 1385.57015
Ekholm, Tobias; Ng, Lenhard; Shende, Vivek
10
2018
Exact Lagrangian immersions with a single double point. Zbl 1327.53108
Ekholm, Tobias; Smith, Ivan
9
2016
Exact Lagrangian immersions with one double point revisited. Zbl 1287.53068
Ekholm, Tobias; Smith, Ivan
7
2014
Geometric formulas for Smale invariants of codimension two immersions. Zbl 1024.57026
Ekholm, Tobias; Szücs, András
6
2003
Invariants of knots, embeddings and immersions via contact geometry. Zbl 1118.57013
Ekholm, Tobias; Etnyre, John B.
5
2005
Algorithm for generating a Brownian motion on a sphere. Zbl 1213.65020
Carlsson, Tobias; Ekholm, Tobias; Elvingson, Christer
5
2010
Differential 3-knots in 5-space with and without self-intersections. Zbl 0964.57029
Ekholm, Tobias
5
2001
Knot contact homology, string topology, and the cord algebra. Zbl 1380.53101
Cieliebak, Kai; Ekholm, Tobias; Latschev, Janko; Ng, Lenhard
5
2017
Symplectic and contact differential graded algebras. Zbl 06726519
Ekholm, Tobias; Oancea, Alexandru
4
2017
Cobordisms of fold maps and maps with a prescribed number of cusps. Zbl 1156.57024
Ekholm, Tobias; Szűcs, András; Terpai, Tamás
3
2007
Regular homotopy and total curvature. II: Sphere immersions into 3-space. Zbl 1114.53049
Ekholm, Tobias
3
2006
Non-loose Legendrian spheres with trivial contact homology DGA. Zbl 1351.57030
Ekholm, Tobias
3
2016
Singular Seifert surfaces and Smale invariants for a family of 3-sphere immersions. Zbl 1227.57035
Ekholm, Tobias; Takase, Masamichi
3
2011
Physics and geometry of knots-quivers correspondence. Zbl 1455.57016
Ekholm, Tobias; Kucharski, Piotr; Longhi, Pietro
3
2020
Multi-cover skeins, quivers, and 3d \(\mathcal{N} = 2\) dualities. Zbl 1435.81171
Ekholm, Tobias; Kucharski, Piotr; Longhi, Pietro
3
2020
Invariants of generic immersions. Zbl 1050.57022
Ekholm, Tobias
2
2001
Regular homotopy and Vassiliev invariants of generic immersions \(S^k \rightarrow \mathbb{R}^{2k-1}, k\geq 4\). Zbl 0949.57015
Ekholm, Tobias
2
1998
Lagrangian exotic spheres. Zbl 1359.57017
Ekholm, Tobias; Kragh, Thomas; Smith, Ivan
2
2016
Total curvatures of holonomic links. Zbl 1008.53006
Ekholm, Tobias; Weistrand, Ola
2
2000
Immersions in the metastable range and spin structures on surfaces. Zbl 0970.53033
Ekholm, Tobias
2
1998
Legendrian contact homology in the boundary of a subcritical Weinstein 4-manifold. Zbl 1333.57038
Ekholm, Tobias; Ng, Lenhard
2
2015
A version of rational SFT for exact Lagrangian cobordisms in 1-jet spaces. Zbl 1207.57035
Ekholm, Tobias
2
2009
Double points of exact Lagrangian immersions and Legendrian contact homology. Zbl 1108.53049
Ekholm, Tobias
1
2006
The group of immersions of homotopy \((4k-1)\)-spheres. Zbl 1091.57020
Ekholm, Tobias; Szűcs, András
1
2006
Regular homotopy and total curvature. I: Circle immersions into surfaces. Zbl 1113.53041
Ekholm, Tobias
1
2006
Non-loose Legendrian spheres with trivial contact homology DGA. Zbl 1406.57022
Ekholm, Tobias
1
2018
Notes on topological strings and knot contact homology. Zbl 1325.57004
Ekholm, Tobias
1
2014
Physics and geometry of knots-quivers correspondence. Zbl 1455.57016
Ekholm, Tobias; Kucharski, Piotr; Longhi, Pietro
3
2020
Multi-cover skeins, quivers, and 3d \(\mathcal{N} = 2\) dualities. Zbl 1435.81171
Ekholm, Tobias; Kucharski, Piotr; Longhi, Pietro
3
2020
A complete knot invariant from contact homology. Zbl 1385.57015
Ekholm, Tobias; Ng, Lenhard; Shende, Vivek
10
2018
Non-loose Legendrian spheres with trivial contact homology DGA. Zbl 1406.57022
Ekholm, Tobias
1
2018
Knot contact homology, string topology, and the cord algebra. Zbl 1380.53101
Cieliebak, Kai; Ekholm, Tobias; Latschev, Janko; Ng, Lenhard
5
2017
Symplectic and contact differential graded algebras. Zbl 06726519
Ekholm, Tobias; Oancea, Alexandru
4
2017
Legendrian knots and exact Lagrangian cobordisms. Zbl 1357.57044
Ekholm, Tobias; Honda, Ko; Kálmán, Tamás
26
2016
Exact Lagrangian immersions with a single double point. Zbl 1327.53108
Ekholm, Tobias; Smith, Ivan
9
2016
Non-loose Legendrian spheres with trivial contact homology DGA. Zbl 1351.57030
Ekholm, Tobias
3
2016
Lagrangian exotic spheres. Zbl 1359.57017
Ekholm, Tobias; Kragh, Thomas; Smith, Ivan
2
2016
Legendrian contact homology in the boundary of a subcritical Weinstein 4-manifold. Zbl 1333.57038
Ekholm, Tobias; Ng, Lenhard
2
2015
Topological strings, D-model, and knot contact homology. Zbl 1315.81076
Aganagic, Mina; Ekholm, Tobias; Ng, Lenhard; Vafa, Cumrun
28
2014
Exact Lagrangian immersions with one double point revisited. Zbl 1287.53068
Ekholm, Tobias; Smith, Ivan
7
2014
Notes on topological strings and knot contact homology. Zbl 1325.57004
Ekholm, Tobias
1
2014
Knot contact homology. Zbl 1267.53095
Ekholm, Tobias; Etnyre, John B.; Ng, Lenhard; Sullivan, Michael G.
20
2013
Constructing exact Lagrangian immersions with few double points. Zbl 1283.53074
Ekholm, Tobias; Eliashberg, Yakov; Murphy, Emmy; Smith, Ivan
16
2013
Filtrations on the knot contact homology of transverse knots. Zbl 1271.53077
Ekholm, Tobias; Etnyre, John; Ng, Lenhard; Sullivan, Michael
10
2013
Effect of Legendrian surgery. Zbl 1322.53080
Bourgeois, Frédéric; Ekholm, Tobias; Eliashberg, Yakov
45
2012
Rational SFT, linearized Legendrian contact homology, and Lagrangian Floer cohomology. Zbl 1254.57024
Ekholm, Tobias
18
2012
Symplectic homology product via Legendrian surgery. Zbl 1256.53049
Bourgeois, Frédéric; Ekholm, Tobias; Eliashberg, Yakov
12
2011
Singular Seifert surfaces and Smale invariants for a family of 3-sphere immersions. Zbl 1227.57035
Ekholm, Tobias; Takase, Masamichi
3
2011
Compactness for holomorphic curves with switching Lagrangian boundary conditions. Zbl 1206.53083
Cieliebak, K.; Ekholm, T.; Latschev, J.
11
2010
Algorithm for generating a Brownian motion on a sphere. Zbl 1213.65020
Carlsson, Tobias; Ekholm, Tobias; Elvingson, Christer
5
2010
A duality exact sequence for Legendrian contact homology. Zbl 1193.53179
Ekholm, Tobias; Etnyre, John B.; Sabloff, Joshua M.
24
2009
A version of rational SFT for exact Lagrangian cobordisms in 1-jet spaces. Zbl 1207.57035
Ekholm, Tobias
2
2009
Rational symplectic field theory over \(\mathbb Z_{2}\) for exact Lagrangian cobordisms. Zbl 1154.57020
Ekholm, Tobias
15
2008
Isotopies of Legendrian 1-knots and Legendrian 2-tori. Zbl 1206.57030
Ekholm, Tobias; Kálmán, Tamás
13
2008
Legendrian contact homology in \(P \times \mathbb{R}\). Zbl 1119.53051
Ekholm, Tobias; Etnyre, John; Sullivan, Michael
36
2007
Morse flow trees and Legendrian contact homology in 1-jet spaces. Zbl 1162.53064
Ekholm, Tobias
21
2007
A note on Reeb dynamics on the tight 3-sphere. Zbl 1181.57035
Bourgeois, Frédéric; Cieliebak, Kai; Ekholm, Tobias
10
2007
Cobordisms of fold maps and maps with a prescribed number of cusps. Zbl 1156.57024
Ekholm, Tobias; Szűcs, András; Terpai, Tamás
3
2007
Regular homotopy and total curvature. II: Sphere immersions into 3-space. Zbl 1114.53049
Ekholm, Tobias
3
2006
Double points of exact Lagrangian immersions and Legendrian contact homology. Zbl 1108.53049
Ekholm, Tobias
1
2006
The group of immersions of homotopy \((4k-1)\)-spheres. Zbl 1091.57020
Ekholm, Tobias; Szűcs, András
1
2006
Regular homotopy and total curvature. I: Circle immersions into surfaces. Zbl 1113.53041
Ekholm, Tobias
1
2006
Non-isotopic Legendrian submanifolds in \(\mathbb R^{2n+1}\). Zbl 1098.57013
Ekholm, Tobias; Etnyre, John; Sullivan, Michael
45
2005
The contact homology of Legendrian submanifolds in \(\mathbb R^{2n+1}\). Zbl 1103.53048
Ekholm, Tobias; Etnyre, John; Sullivan, Michael
41
2005
Orientations in Legendrian contact homology and exact Lagrangian immersions. Zbl 1076.53099
Ekholm, Tobias; Etnyre, John; Sullivan, Michael
34
2005
Invariants of knots, embeddings and immersions via contact geometry. Zbl 1118.57013
Ekholm, Tobias; Etnyre, John B.
5
2005
Geometric formulas for Smale invariants of codimension two immersions. Zbl 1024.57026
Ekholm, Tobias; Szücs, András
6
2003
Embeddedness of minimal surfaces with total boundary curvature at most \(4\pi\). Zbl 1017.53013
Ekholm, Tobias; White, Brian; Wienholtz, Daniel
18
2002
Differential 3-knots in 5-space with and without self-intersections. Zbl 0964.57029
Ekholm, Tobias
5
2001
Invariants of generic immersions. Zbl 1050.57022
Ekholm, Tobias
2
2001
Total curvatures of holonomic links. Zbl 1008.53006
Ekholm, Tobias; Weistrand, Ola
2
2000
Regular homotopy and Vassiliev invariants of generic immersions \(S^k \rightarrow \mathbb{R}^{2k-1}, k\geq 4\). Zbl 0949.57015
Ekholm, Tobias
2
1998
Immersions in the metastable range and spin structures on surfaces. Zbl 0970.53033
Ekholm, Tobias
2
1998
all top 5

Cited by 229 Authors

23 Ekholm, Tobias
10 Ng, Lenhard L.
10 Sabloff, Joshua M.
9 Dimitroglou Rizell, Georgios
9 Eliashberg, Yakov Matveevich
9 Sullivan, Michael G.
8 Rutherford, Dan
8 Smith, Ivan
6 Bourgeois, Frédéric
6 Etnyre, John B.
6 Murphy, Emmy
5 Cieliebak, Kai
5 Gukov, Sergei
5 Shende, Vivek Vijay
5 Sułkowski, Piotr
4 Chantraine, Baptiste
4 Hutchings, Michael Lounsbery
4 Morozov, Alexei Yurievich
4 Oancea, Alexandru
3 Abouzaid, Mohammed
3 Alves, Marcelo R. R.
3 Casals, Roger
3 Colin, Vincent
3 Golovko, Roman
3 Hajłasz, Piotr
3 Honda, Ko
3 Jockers, Hans
3 Kucharski, Piotr
3 Longhi, Pietro
3 Takase, Masamichi
3 Traynor, Lisa
2 Abbondandolo, Alberto
2 Álvarez Gavela, Daniel
2 Banerjee, Sibasish
2 Bernstein, Jacob
2 Bobrowski, Adam
2 Brendle, Simon
2 Casonatto, Catiana
2 Etgü, Tolga
2 Ganatra, Sheel
2 Garoufalidis, Stavros
2 Georgieva, Penka Vasileva
2 Grant, Mark
2 Gu, Jie
2 Gürel, Basak Zehra
2 Hayden, Kyle
2 Henry, Michael B.
2 Juhász, András
2 Kálmán, Tamás
2 Klemm, Albrecht
2 Latschev, Janko
2 Lekili, Yankı
2 Lidman, Tye
2 Lipshitz, Robert
2 McLean, Mark
2 Meeks, William Hamilton III
2 Mironov, Andrei D.
2 Nawata, Satoshi
2 Niederkrüger, Klaus
2 Pan, Yu
2 Panfil, Miłosz
2 Pardon, John Vincent
2 Pomerleano, Daniel
2 Romero-Fuster, María Carmen
2 Saberi, Ingmar A.
2 Schikorra, Armin
2 Siegel, Kyler
2 Soroush, Masoud
2 Szűcs, András
2 Terpai, Tamás
2 Tinaglia, Giuseppe
2 Tonkonog, Dmitry
2 Treumann, David
2 Tyson, Jeremy T.
2 Vafa, Cumrun
2 Vaugon, Anne
2 Wik Atique, Roberta G.
2 Zaslow, Eric
1 Abreu, Miguel
1 Aganagic, Mina
1 Aiyama, Reiko
1 Akutagawa, Kazuo
1 Albers, Peter
1 Anokhina, A. S.
1 Auroux, Denis
1 Baldridge, Scott Jeremy
1 Balogh, Zoltán M.
1 Berest, Yuri Yu.
1 Bergqvist, Magnus
1 Björklund, Johan
1 Borbély, Albert
1 Borgonovo, Emanuele
1 Borman, Matthew Strom
1 Bottman, Nathaniel
1 Bourni, Theodora
1 Breiner, Christine
1 Castrillón López, Marco
1 Cecotti, Sergio
1 Chen, Jin
1 Chernov, Vladimir V.
...and 129 more Authors
all top 5

Cited in 74 Serials

19 Algebraic & Geometric Topology
17 Geometry & Topology
15 Journal of High Energy Physics
10 Advances in Mathematics
10 Geometric and Functional Analysis. GAFA
9 Inventiones Mathematicae
6 Duke Mathematical Journal
6 Geometriae Dedicata
6 Quantum Topology
5 Mathematische Zeitschrift
5 Proceedings of the American Mathematical Society
5 Bulletin of the American Mathematical Society. New Series
5 Selecta Mathematica. New Series
5 Journal of Topology
4 Communications in Mathematical Physics
4 Compositio Mathematica
4 Transactions of the American Mathematical Society
4 International Journal of Mathematics
4 Journal of Knot Theory and its Ramifications
3 Bulletin of the London Mathematical Society
3 Mathematische Annalen
3 Journal of the European Mathematical Society (JEMS)
3 Journal of Fixed Point Theory and Applications
3 Journal of Topology and Analysis
3 Journal de l’École Polytechnique – Mathématiques
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Annales de l’Institut Fourier
2 Commentarii Mathematici Helvetici
2 Publications Mathématiques
2 Pacific Journal of Mathematics
2 Topology and its Applications
2 Journal of the American Mathematical Society
2 Differential Geometry and its Applications
2 Proceedings of the National Academy of Sciences of the United States of America
2 Calculus of Variations and Partial Differential Equations
1 Archive for Rational Mechanics and Analysis
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Letters in Mathematical Physics
1 Theoretical and Mathematical Physics
1 Arkiv för Matematik
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Acta Mathematica Vietnamica
1 Applied Mathematics and Computation
1 Glasgow Mathematical Journal
1 Journal of Differential Equations
1 Journal of Functional Analysis
1 Journal of the Korean Mathematical Society
1 Journal of the London Mathematical Society. Second Series
1 Journal of Pure and Applied Algebra
1 Manuscripta Mathematica
1 Ergodic Theory and Dynamical Systems
1 Statistics & Probability Letters
1 Chinese Annals of Mathematics. Series B
1 Acta Mathematica Hungarica
1 Boletim da Sociedade Portuguesa de Matemática
1 Annals of Operations Research
1 The Journal of Geometric Analysis
1 Aequationes Mathematicae
1 Communications in Partial Differential Equations
1 Conformal Geometry and Dynamics
1 Annals of Mathematics. Second Series
1 Analysis (München)
1 Communications in Contemporary Mathematics
1 Annales Henri Poincaré
1 Journal of Evolution Equations
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Proceedings of the Steklov Institute of Mathematics
1 Symmetry
1 Forum of Mathematics, Pi
1 Annales Mathématiques du Québec
1 Arnold Mathematical Journal
1 European Journal of Mathematics
1 Transactions of the American Mathematical Society. Series B
all top 5

Cited in 38 Fields

150 Differential geometry (53-XX)
133 Manifolds and cell complexes (57-XX)
25 Quantum theory (81-XX)
19 Global analysis, analysis on manifolds (58-XX)
17 Algebraic geometry (14-XX)
16 Algebraic topology (55-XX)
13 Dynamical systems and ergodic theory (37-XX)
10 Calculus of variations and optimal control; optimization (49-XX)
9 Several complex variables and analytic spaces (32-XX)
7 Relativity and gravitational theory (83-XX)
4 Associative rings and algebras (16-XX)
4 Category theory; homological algebra (18-XX)
3 Partial differential equations (35-XX)
3 Functional analysis (46-XX)
3 Probability theory and stochastic processes (60-XX)
2 Combinatorics (05-XX)
2 Nonassociative rings and algebras (17-XX)
2 \(K\)-theory (19-XX)
2 Real functions (26-XX)
2 Functions of a complex variable (30-XX)
2 Ordinary differential equations (34-XX)
2 Operator theory (47-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Field theory and polynomials (12-XX)
1 Group theory and generalizations (20-XX)
1 Topological groups, Lie groups (22-XX)
1 Measure and integration (28-XX)
1 Potential theory (31-XX)
1 Special functions (33-XX)
1 Difference and functional equations (39-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)
1 Numerical analysis (65-XX)
1 Mechanics of particles and systems (70-XX)
1 Operations research, mathematical programming (90-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year