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Journal of knot theory and its ramifications, ISSN 0218-2165, 1992

Journal

2016, Volume 680.

Quantum theory -- Quantum field theory; related classical field theories -- Topological field theories | Link theory | Quantum theory -- Quantum field theory; related classical field theories -- String and superstring theories; other extended objects (e.g., branes) | Homology theory | Knot theory | Manifolds and cell complexes -- Low-dimensional topology -- Invariants of knots and 3-manifolds | Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Quantum groups (quantized enveloping algebras) and related deformations | Manifolds and cell complexes -- Differential topology -- Floer homology | Curves

Conference Proceeding

2018, 2, ISBN 113856124X, Volume 1, 580

Over the last fifteen years, the face of knot theory has changed due to various new theories and invariants coming from physics, topology, combinatorics and alge-bra...

Geometry | General Physics | Mathematical Physics | Knot theory

Geometry | General Physics | Mathematical Physics | Knot theory

eBook

2016, Graduate studies in mathematics, ISBN 9781470427238, Volume 170, xxviii, 428

Category theory; homological algebra -- Categories with structure -- Enriched categories (over closed or monoidal categories) | Algebra, Homological | Order, lattices, ordered algebraic structures -- Ordered structures -- Ordered semigroups and monoids | Category theory; homological algebra -- Categories with structure -- Monoidal categories (= multiplicative categories), symmetric monoidal categories, braided categories | Combinatorics -- Instructional exposition (textbooks, tutorial papers, etc.) | Knot theory | Operads | Category theory; homological algebra -- Categories with structure -- Operads | Category theory; homological algebra -- General theory of categories and functors -- Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.)

Book

04/2018, ISBN 113856124X, 580

Over the last fifteen years, the face of knot theory has changed due to various new theories and invariants coming from physics, topology, combinatorics and alge-bra...

Geometry | Briads | Heegaard-Floer | Vassily Manturov | Invariant | Mathematical Physics | STMnetBASE | SCI-TECHnetBASE | MATHnetBASE | General Physics | Homology | Virtual Knots

Geometry | Briads | Heegaard-Floer | Vassily Manturov | Invariant | Mathematical Physics | STMnetBASE | SCI-TECHnetBASE | MATHnetBASE | General Physics | Homology | Virtual Knots

eBook

2012, ISBN 9789814307994, xi, 519

Book

Chemical Society reviews, ISSN 0306-0012, 11/2016, Volume 45, Issue 23, pp. 6432 - 6448

Knot theory is a branch of pure mathematics, but it is increasingly being applied in a variety of sciences...

Physical Sciences | Chemistry | Chemistry, Multidisciplinary | Science & Technology | Mathematical analysis | Media | Knot theory | Topology | Arrays | Physical properties | Knots

Physical Sciences | Chemistry | Chemistry, Multidisciplinary | Science & Technology | Mathematical analysis | Media | Knot theory | Topology | Arrays | Physical properties | Knots

Journal Article

2016, Graduate studies in mathematics, ISBN 9781470431068, Volume 176, x, 154 pages

... explores the interactions between orderability and objects in low-dimensional topology, such as knot theory, braid...

Manifolds (Mathematics) | Low-dimensional topology | Topology | Knot theory | Ordered groups

Manifolds (Mathematics) | Low-dimensional topology | Topology | Knot theory | Ordered groups

Book

2005, INTERNATIONAL SERIES OF MONOGRAPHS ON PHYSICS; 131., ISBN 9780198568490, 210

In recent years, the old idea that gauge theories and string theories are equivalent has been implemented and developed in various ways, and there are by now various models where the string theory...

Particles and Fields | Astronomy and Astrophysics | Gauge fields (Physics) | Calabi-yau | Three-manifold geometry | String theories | Gauge theories | Gromov-witten | Knot theory | Chern-simons theory | Enumerative geometry

Particles and Fields | Astronomy and Astrophysics | Gauge fields (Physics) | Calabi-yau | Three-manifold geometry | String theories | Gauge theories | Gromov-witten | Knot theory | Chern-simons theory | Enumerative geometry

Book

The journal of high energy physics, ISSN 1029-8479, 05/2013, Volume 2013, Issue 5, pp. 1 - 66

We study S-dualities in analytically continued SL(2) Chern-Simons theory on a 3-manifold M...

Duality in Gauge Field Theories | Supersymmetric gauge theory | Topological Field Theories | Quantum Physics | Quantum Field Theories, String Theory | Chern-Simons Theories | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Physical Sciences | Physics, Particles & Fields | Science & Technology | Analysis | Resveratrol | Supersymmetry | Transformations (mathematics) | Complement | Mapping | Bundles | Three dimensional | Knots | Symmetry

Duality in Gauge Field Theories | Supersymmetric gauge theory | Topological Field Theories | Quantum Physics | Quantum Field Theories, String Theory | Chern-Simons Theories | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Physical Sciences | Physics, Particles & Fields | Science & Technology | Analysis | Resveratrol | Supersymmetry | Transformations (mathematics) | Complement | Mapping | Bundles | Three dimensional | Knots | Symmetry

Journal Article

2017, Graduate studies in mathematics, ISBN 9781470436605, Volume 185, xi, 289 pages

Book

2005, ISBN 9780444514523, 503

This book is a survey of current topics in the mathematical theory of knots. For a mathematician, a knot is a closed loop in 3-dimensional space...

Knot theory | Low-dimensional topology

Knot theory | Low-dimensional topology

eBook

The journal of high energy physics, ISSN 1029-8479, 07/2019, Volume 2019, Issue 7, pp. 1 - 38

We compute an upper bound on the circuit complexity of quantum states in 3d Chern-Simons theory corresponding to certain classes of knots...

t Hooft and Polyakov loops | Gauge-gravity correspondence | Wilson | Quantum Physics | Quantum Field Theories, String Theory | Chern-Simons Theories | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Physical Sciences | Physics, Particles & Fields | Science & Technology | Atoms | Gravity | Braiding | Topology | Optimization | Complexity | Tessellation | Toruses | Upper bounds | Field theory (physics) | Hilbert space | Representations | Knot theory | Quantum theory | Knots | Gates (circuits)

t Hooft and Polyakov loops | Gauge-gravity correspondence | Wilson | Quantum Physics | Quantum Field Theories, String Theory | Chern-Simons Theories | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Physical Sciences | Physics, Particles & Fields | Science & Technology | Atoms | Gravity | Braiding | Topology | Optimization | Complexity | Tessellation | Toruses | Upper bounds | Field theory (physics) | Hilbert space | Representations | Knot theory | Quantum theory | Knots | Gates (circuits)

Journal Article

16.
Knot theory

1993, The Carus mathematical monographs, ISBN 9780883850275, Volume 24, xviii, 240

Book

2016, 3rd edition., De Gruyter studies in mathematics, ISBN 3110442663, Volume 18, xii, 596

Book

Geometriae dedicata, ISSN 0046-5755, 2/2011, Volume 150, Issue 1, pp. 105 - 130

... through a respective ring homomorphism. These constructions are illustrated by two examples coming from knot theory, namely the trefoil and the figure-eight knots...

Geometry | Ideal triangulation | Group | 16S10 | Groupoid | Malnormal subgroup | 20L05 | 57M27 | Ring | Mathematics | Knot theory | Physical Sciences | Science & Technology

Geometry | Ideal triangulation | Group | 16S10 | Groupoid | Malnormal subgroup | 20L05 | 57M27 | Ring | Mathematics | Knot theory | Physical Sciences | Science & Technology

Journal Article

Inventiones mathematicae, ISSN 0020-9910, 8/2015, Volume 201, Issue 2, pp. 519 - 559

In Andersen and Ueno (J Knot Theory Ramif 16:127–202, 2007) we constructed the vacua modular functor based on the sheaf of vacua theory developed in Tsuchiya et al...

Mathematics, general | Mathematics | Physical Sciences | Science & Technology | Isomorphism | Modular construction | Field theory | Knot theory | Texts | Mathematical models | Studs | Formulas (mathematics)

Mathematics, general | Mathematics | Physical Sciences | Science & Technology | Isomorphism | Modular construction | Field theory | Knot theory | Texts | Mathematical models | Studs | Formulas (mathematics)

Journal Article

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