Ph. Korablev - Quantum Invariants of Knots
Explore quantum invariants of knots, delving into advanced mathematical concepts and their applications in topology and quantum mechanics.
Virtual Representation of the Braid Group of Automorphisms and Virtual Links
Virtual representation of braid group automorphisms and links: exploring mathematical concepts and their applications in quantum topology and related fields.
Annuli with Legendrian Boundary
Explore Legendrian boundary annuli in contact topology, examining their properties and applications in geometric and topological contexts.
Penner Coordinates for Closed Surfaces
Explore Penner coordinates for closed surfaces, delving into mathematical concepts and applications in quantum topology.
Gehring-Martin-Tan and Tan Numbers for Elementary Subgroups of PSL(2,C)
Explore Gehring-Martin-Tan and Tan numbers for elementary subgroups of PSL(2,C), delving into advanced concepts in quantum topology and group theory.
The Stat-Sums on the Spines of Three-Dimensional Manifolds
Explore state-sums on spines of 3D manifolds with V. Turaev, delving into advanced concepts in quantum topology and geometric structures.
V. Tarkaev - The Complexity of an Infinite Series of Knots in the Thickened Torus
Explore the intricacies of knot theory as V. Tarkaev delves into the complexity of infinite knot series within a thickened torus, offering insights into advanced topological concepts.
V. Turaev - Knotoids
Explore knotoids, a mathematical concept in knot theory, with Professor V. Turaev. Delve into the intricacies of these topological structures and their applications in various fields of mathematics.
When Double-Orientable Seifert Manifold Contains an Odd Surface?
Explore conditions for odd surfaces in double-orientable Seifert manifolds, delving into topological properties and mathematical implications of these unique structures.
A. Akimova - Classification of Prime Virtual Knots of Genus 1 With Low Complexity
Classification methods for prime virtual knots of genus 1, focusing on those with low complexity. Explores advanced concepts in knot theory and topology.
HOMFLY Polynomials for Virtual Knots
Explore HOMFLY polynomials for virtual knots, delving into advanced concepts in quantum topology and knot theory.
A Normal Form for Highly Twisted Knots
Explore a novel normal form for highly twisted knots, delving into advanced concepts in quantum topology and knot theory.
A Census of Tetrahedral Hyperbolic Manifolds
Explore tetrahedral hyperbolic manifolds in this comprehensive census, examining their properties, classifications, and implications for quantum topology research.
Classification of Prime Genus 1 Virtual Knots of Low Complexity
Explore prime genus 1 virtual knots of low complexity, their classification methods, and implications in quantum topology with A. Akimova's in-depth analysis.
Algebra Review - Part 2
Comprehensive review of advanced algebra concepts, covering exponents, geometry, functions, equations, inequalities, trigonometry, and more. Ideal for strengthening mathematical foundations.
NOC - Partial Differential Equations for Engineers - Solution
Explore advanced techniques for solving partial differential equations in engineering, covering various coordinate systems and problem types across multiple dimensions.
Ordinary Differential Equations and Applications
Explore differential equations, from basic concepts to advanced topics like stability analysis and Poincaré-Bendixon theory, enhancing problem-solving skills in various applications.
Mathematics I
Explore advanced calculus concepts including theorems, integrals, and series. Master differentiation, integration, and multivariable calculus for a strong mathematical foundation.
Mathematics in India - From Vedic Period to Modern Times
Explore India's rich mathematical heritage from ancient Vedic times to the modern era, covering proofs, trigonometry, and spherical geometry across different historical periods.
Basic Algebraic Geometry
Explore local rings, morphisms, and function fields in algebraic geometry. Understand smoothness, singularities, and the geometric significance of local ring isomorphisms.
Advanced Engineering Mathematics
Comprehensive exploration of advanced mathematical concepts, including complex analysis, transforms, probability, linear algebra, and more, with applications to engineering problems.