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Knot theory.

Overview

Works:	55 works in 11 publications in 11 languages

Titles

Knot theory / by: (Language materials, printed)

The knot book : = an elementary introduction to the mathematical theory of knots / by: (Language materials, printed)

Knots and links / by: (Language materials, printed)

Knot theory and its applications / by: (Language materials, printed)

Functorial knot theory : = categories of tangles, coherence, categorical deformations, and topological invariants / by: (Language materials, printed)

Quantum invariants : = a study of knots, 3-manifolds, and their sets / by: (Language materials, printed)

Braid group, knot theory and statistical mechanics II / by: (Language materials, printed)

Braid and knot theory in dimension four / by: (Language materials, printed)

Introduction to Vassiliev knot invariants / by: (Language materials, printed)

Virtual knots = the state of the art / by: (Electronic resources)

Subjects

Graph theory.

Quantum gravity- Mathematics.

Curves.

Conformal geometry.

Topology.

Knot polynomials.

Group Theory and Generalizations.

Manifolds and Cell Complexes.

Associative Rings and Algebras.

Ordered groups.

Manifolds and cell complexes -- Research exposition (monographs, survey articles).

Group theory and generalizations -- Special aspects of infinite or finite groups -- Ordered groups.

Quantum groups.

Hamiltonian systems.

Invariants (Mathematics)

Functor theory.

Kleinian groups.

Complex manifolds.

Particles (Nuclear physics)- Mathematics.

Algebra.

Homotopy theory.

Category theory; homological algebra -- Categories with structure -- Enriched categories (over closed or monoidal categories).

Category theory; homological algebra -- General theory of categories and functors -- Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.).

Manifolds and cell complexes -- Low-dimensional topology -- Invariants of knots and 3-manifolds.

Flows (Differentiable dynamical systems)

Embeddings (Mathematics)

Electromagnetism.

Group theory.

Manifolds (Mathematics)

Manifolds and cell complexes -- Low-dimensional topology -- Geometric structures on low-dimensional manifolds.

Knot theory.

Surgery (Topology)

Mathematical physics.

Geometry, Algebraic.

Mathematics.

Non-associative Rings and Algebras.

Field theory (Physics)

Operads.

Category theory; homological algebra -- Categories with structure -- Operads.

Category theory; homological algebra -- Categories with structure -- Monoidal categories (= multiplicative categories), symmetric monoidal categories, braided categories.

Gauge fields (Physics)

Quantum gravity.

Braid theory.

Differential topology.

Low-dimensional topology.

Combinatorics -- Instructional exposition (textbooks, tutorial papers, etc.).

Order, lattices, ordered algebraic structures -- Ordered structures -- Ordered semigroups and monoids.

Functions of a complex variable -- Riemann surfaces -- Kleinian groups.

Curves on surfaces.

Representations of groups.

Quantum field theory.

Categories (Mathematics).

Invariants.

Three-manifolds (Topology).

Manifolds and Cell Complexes (incl. Diff.Topology)

Manifolds and cell complexes -- Low-dimensional topology -- Topological methods in group theory.

Manifolds and cell complexes -- Topological manifolds -- Topology of general $3$-manifolds.

Link theory.

Surfaces.

Three-manifolds (Topology)

General relativity (Physics)

Statistical mechanics.

Geometry, Hyperbolic.

Alexander ideals.

Functions, Theta.

Algebraic Topology.

Combinatorial analysis.

Discrete Mathematics.

Manifolds and cell complexes -- PL-topology -- Triangulating manifolds.

Categories (Mathematics)

Loops (Group theory)

Torus (Geometry)

Geometry.

K-Theory.

Topological dynamics.

Algebra, Homological.

Manifolds and cell complexes -- Low-dimensional topology -- Knots and links in $S^3$.