# zbMATH — the first resource for mathematics

Compute Distance To:
 Documents Indexed: 30 Publications since 1991, including 1 Book Reviewing Activity: 36 Reviews

#### Co-Authors

 26 single-authored 1 Kauffman, Louis Hirsch 1 Rolfsen, Dale 1 Vilgis, Thomas A.
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#### Serials

 11 Journal of Geometry and Physics 3 International Journal of Geometric Methods in Modern Physics 2 International Journal of Modern Physics A 2 Journal of Mathematical Physics 2 Annals of Physics 2 Journal of Physics A: Mathematical and General 2 International Mathematical Forum 1 Journal of Statistical Physics 1 Physica A 1 Advanced Studies in Theoretical Physics 1 Analysis and Mathematical Physics
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#### Fields

 21 Quantum theory (81-XX) 10 Relativity and gravitational theory (83-XX) 8 Differential geometry (53-XX) 8 Statistical mechanics, structure of matter (82-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Manifolds and cell complexes (57-XX) 4 Fluid mechanics (76-XX) 3 Number theory (11-XX) 3 Algebraic geometry (14-XX) 3 Partial differential equations (35-XX) 3 Probability theory and stochastic processes (60-XX) 2 Commutative algebra (13-XX) 2 Nonassociative rings and algebras (17-XX) 2 Group theory and generalizations (20-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Optics, electromagnetic theory (78-XX) 1 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX)

#### Citations contained in zbMATH Open

26 Publications have been cited 93 times in 49 Documents Cited by Year
Towards physically motivated proofs of the Poincaré and geometrization conjectures. Zbl 1135.53026
2008
Applications of contact geometry and topology in physics. Zbl 1279.53001
2013
Boundary conformal field theories, limit sets of Kleinian groups and holography. Zbl 0986.81095
2000
Classical dynamics of the rigid string from the Willmore functional. Zbl 0830.53060
Kholodenko, A. L.; Nesterenko, V. V.
1995
Kontsevich-Witten model from $$2+1$$ gravity: new exact combinatorial solution. Zbl 1146.83306
Kholodenko, A.
2002
Use of meanders and train tracks for description of defects and textures in liquid crystals and $$2+1$$ gravity. Zbl 0961.83016
2000
Use of quadratic differentials for description of defects and textures in liquid crystals and $$2+1$$ gravity. Zbl 0961.83017
2000
Statistical mechanics of $$2+1$$ gravity from Riemann zeta function and Alexander polynomial: Exact results. Zbl 0990.83004
Kholodenko, A. L.
2001
New strings for old Veneziano amplitudes. I: Analytical treatment. Zbl 1079.83032
Kholodenko, A. L.
2005
Knot complexity and related observables from path integrals for semiflexible polymers. Zbl 0898.57002
Kholodenko, Arkady L.; Rolfsen, Dale P.
1996
New strings for old Veneziano amplitudes. II: group-theoretic treatment. Zbl 1116.81066
Kholodenko, A. L.
2006
Statistical mechanics of the deformable droplets on flat surfaces. Zbl 0867.76073
1996
Some thoughts about random walks on figure eight. Zbl 0971.60500
Kholodenko, A. L.
2001
“New” Veneziano amplitudes from “old” Fermat (hyper)surfaces. Zbl 1068.81592
Kholodenko, A. L.
2004
New models for Veneziano amplitudes: combinatorial, symplectic and supersymmetric aspects. Zbl 1081.81093
Kholodenko, A. L.
2005
New string amplitudes from old Fermat (hyper)surfaces. Zbl 1080.11089
Kholodenko, A. L.
2004
New strings for old Veneziano amplitudes. III: Symplectic treatment. Zbl 1117.81115
Kholodenko, A. L.
2006
Veneziano amplitudes, spin chains and abelian reduction of QCD. Zbl 1162.81418
2009
Heisenberg honeycombs solve Veneziano puzzle. Zbl 1173.81011
Kholodenko, A. L.
2009
Statistical mechanics of the deformable droplets on Riemannian surfaces: Applications to reptation and related problems. Zbl 0868.76077
1996
Potts model, Dirac propagator, and conformational statistics of semiflexible polymers. Zbl 0935.82523
1991
Gravity-assisted solution of the mass gap problem for pure Yang-Mills fields. Zbl 1243.83064
2011
Role of general relativity and quantum mechanics in dynamics of solar system. Zbl 1232.83021
2010
Optical knots and contact geometry. I: From Arnol’d inequality to Ranada’s dyons. Zbl 1342.35365
2016
Traces of mirror symmetry in nature. Zbl 1154.81022
Kholodenko, A. L.
2008
Optical knots and contact geometry. II: From Ranada dyons to transverse and cosmetic knots. Zbl 1380.53094
2016
Optical knots and contact geometry. I: From Arnol’d inequality to Ranada’s dyons. Zbl 1342.35365
2016
Optical knots and contact geometry. II: From Ranada dyons to transverse and cosmetic knots. Zbl 1380.53094
2016
Applications of contact geometry and topology in physics. Zbl 1279.53001
2013
Gravity-assisted solution of the mass gap problem for pure Yang-Mills fields. Zbl 1243.83064
2011
Role of general relativity and quantum mechanics in dynamics of solar system. Zbl 1232.83021
2010
Veneziano amplitudes, spin chains and abelian reduction of QCD. Zbl 1162.81418
2009
Heisenberg honeycombs solve Veneziano puzzle. Zbl 1173.81011
Kholodenko, A. L.
2009
Towards physically motivated proofs of the Poincaré and geometrization conjectures. Zbl 1135.53026
2008
Traces of mirror symmetry in nature. Zbl 1154.81022
Kholodenko, A. L.
2008
New strings for old Veneziano amplitudes. II: group-theoretic treatment. Zbl 1116.81066
Kholodenko, A. L.
2006
New strings for old Veneziano amplitudes. III: Symplectic treatment. Zbl 1117.81115
Kholodenko, A. L.
2006
New strings for old Veneziano amplitudes. I: Analytical treatment. Zbl 1079.83032
Kholodenko, A. L.
2005
New models for Veneziano amplitudes: combinatorial, symplectic and supersymmetric aspects. Zbl 1081.81093
Kholodenko, A. L.
2005
“New” Veneziano amplitudes from “old” Fermat (hyper)surfaces. Zbl 1068.81592
Kholodenko, A. L.
2004
New string amplitudes from old Fermat (hyper)surfaces. Zbl 1080.11089
Kholodenko, A. L.
2004
Kontsevich-Witten model from $$2+1$$ gravity: new exact combinatorial solution. Zbl 1146.83306
Kholodenko, A.
2002
Statistical mechanics of $$2+1$$ gravity from Riemann zeta function and Alexander polynomial: Exact results. Zbl 0990.83004
Kholodenko, A. L.
2001
Some thoughts about random walks on figure eight. Zbl 0971.60500
Kholodenko, A. L.
2001
Boundary conformal field theories, limit sets of Kleinian groups and holography. Zbl 0986.81095
2000
Use of meanders and train tracks for description of defects and textures in liquid crystals and $$2+1$$ gravity. Zbl 0961.83016
2000
Use of quadratic differentials for description of defects and textures in liquid crystals and $$2+1$$ gravity. Zbl 0961.83017
2000
Knot complexity and related observables from path integrals for semiflexible polymers. Zbl 0898.57002
Kholodenko, Arkady L.; Rolfsen, Dale P.
1996
Statistical mechanics of the deformable droplets on flat surfaces. Zbl 0867.76073
1996
Statistical mechanics of the deformable droplets on Riemannian surfaces: Applications to reptation and related problems. Zbl 0868.76077
1996
Classical dynamics of the rigid string from the Willmore functional. Zbl 0830.53060
Kholodenko, A. L.; Nesterenko, V. V.
1995
Potts model, Dirac propagator, and conformational statistics of semiflexible polymers. Zbl 0935.82523
1991
all top 5

#### Cited by 46 Authors

 19 Kholodenko, Arkady L. 4 Calvaruso, Giovanni 3 Banaru, Mikhail Borisovich 2 Bravetti, Alessandro 2 García-Río, Eduardo 2 Gaset, Jordi 2 Kang, Mihyun 2 Muñoz-Lecanda, Miguel C. 2 Román-Roy, Narciso 1 Alves, Daniel W. F. 1 Arroyo, Josu J. 1 Banaru, Galina Anatol’evna 1 Benini, Francesco 1 Bergner, Matthias 1 Brozos-Vázquez, Miguel 1 Cheng, Xiaosheng 1 Clayton, John D. 1 de Leo, Barbara 1 de León Rodríguez, Manuel 1 Diesinger, P. M. 1 Fernández-López, Manuel 1 Fino, Anna 1 Garay, Oscar Jesus 1 Garcia-Chung, Angel 1 Gràcia, Xavier 1 Heermann, Dieter W. 1 Herrera, Jónatan 1 Hoyos, Carlos 1 Hu, Guang 1 Jacob, Benoît 1 Kauffman, Louis Hirsch 1 Kröncke, Klaus 1 Laínz, Manuel 1 Liu, Shuya 1 Manton, Nicholas S. 1 McInnes, Brett 1 Mencía, José J. 1 Müller-Nedebock, Kristian K. 1 Nastase, Horatiu Stefan 1 Qiu, Wen-Yuan 1 Rivas, Xavier 1 Rohwer, C. M. 1 Rubio, Rafael María 1 Schäfer, Lars 1 Sonnenschein, Jacob 1 Tapias, Diego
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#### Cited in 25 Serials

 15 Journal of Geometry and Physics 5 International Journal of Geometric Methods in Modern Physics 4 Journal of Mathematical Physics 3 Annals of Physics 2 International Journal of Modern Physics A 1 Bulletin of the Australian Mathematical Society 1 Israel Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 Nuclear Physics. B 1 Physics Letters. B 1 Reports on Mathematical Physics 1 Fortschritte der Physik 1 Applied Mathematics and Computation 1 Journal of Computational and Applied Mathematics 1 Mathematische Annalen 1 Acta Mathematica Hungarica 1 Calculus of Variations and Partial Differential Equations 1 Journal of Mathematical Sciences (New York) 1 Journal of Mathematical Chemistry 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 The European Physical Journal B. Condensed Matter and Complex Systems 1 Journal of Noncommutative Geometry 1 Journal of Physics A: Mathematical and Theoretical 1 Analysis and Mathematical Physics
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#### Cited in 29 Fields

 22 Differential geometry (53-XX) 19 Quantum theory (81-XX) 12 Relativity and gravitational theory (83-XX) 8 Statistical mechanics, structure of matter (82-XX) 6 Partial differential equations (35-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Fluid mechanics (76-XX) 4 Number theory (11-XX) 4 Manifolds and cell complexes (57-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Mechanics of particles and systems (70-XX) 3 Probability theory and stochastic processes (60-XX) 2 Commutative algebra (13-XX) 2 Nonassociative rings and algebras (17-XX) 2 Group theory and generalizations (20-XX) 2 Geometry (51-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Numerical analysis (65-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX)