QuantumTopology Courses

25.03.2020 Ф.Г. Кораблёв - Автоморфизмы раскрасок и инварианты узлов

Explore automorphisms of colorings and knot invariants in less than an hour with QuantumTopology.

• YouTube
• 58 minutes
• On-Demand
• Free Online Course

9.12.2017 И.А. Дынников - Рокировочные классы прямоугольных диаграмм и лежандровы узлы

Dive into QuantumTopology's brief study on castling classes of rectangular diagrams and Legendre knots. Less than an hour's commitment.

• YouTube
• 43 minutes
• On-Demand
• Free Online Course

9.12.2017 А.Е. Миронов - Алгебраическая интегрируемость магнитных бильярдов на плоскости

Explore algebraic integrability of magnetic billiards on a plane with QuantumTopology. Less than an hour's commitment.

• YouTube
• 46 minutes
• On-Demand
• Free Online Course

9.12.2017 И.А. Тайманов - Теория пересечений и кольца когомологий

Dive into intersection theory and cohomology rings with QuantumTopology's concise material, taking less than an hour.

• YouTube
• 49 minutes
• On-Demand
• Free Online Course

9.12.2017 В.И. Бердышев - Экстремальыне задачи навигации по геофизическим полям

Dive into extreme navigation tasks in geophysical fields with QuantumTopology. Less than an hour's commitment required.

• YouTube
• 50 minutes
• On-Demand
• Free Online Course

Tensor Calculus - Reminders

Dive into Tensor Calculus with QuantumTopology's material, designed for 1-2 hours of immersive learning.

• YouTube
• 1 hour 28 minutes
• On-Demand
• Free Online Course

V. Tarkaev - Kahsaev Task for 4-Dimensional Manifolds

Dive into 4-dimensional manifolds with QuantumTopology's material, guided by V. Tarkaev. Expect a 1-2 hour workload.

• YouTube
• 1 hour 34 minutes
• On-Demand
• Free Online Course

Khovanov Homology for Knots in Thickened Torus

Dive into Khovanov homology for knots in thickened torus with QuantumTopology. Expect 1-2 hours of engaging material.

• YouTube
• 1 hour 35 minutes
• On-Demand
• Free Online Course

8.12.2017 А.Е. Миронов - Интегрируемые магнитные геодезические потоки на двумерном торе

Dive into integrable magnetic geodesic flows on a two-dimensional torus with QuantumTopology. Expect 1-2 hours of material.

• YouTube
• 1 hour 31 minutes
• On-Demand
• Free Online Course

A. Malutin - On Domination of Hyperbolic Knots

Dive into the domination of hyperbolic knots with A. Malutin's 1-2 hour material from QuantumTopology.

• YouTube
• 1 hour 36 minutes
• On-Demand
• Free Online Course

The Geometry of Compact Spaces and the Optimal Connections

Explore the geometry of compact spaces and optimal connections with QuantumTopology. Material is in Russian and requires 1-2 hours of study.

• YouTube
• 1 hour 26 minutes
• On-Demand
• Free Online Course

Non-Recognizability of Manifolds

Dive into the non-recognizability of manifolds with A. Chernavskiy's Russian-language material from QuantumTopology, requiring 1-2 hours of study.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Online Course

Invariants of Non-Singular Triangulations for Low-Dimensional Manifolds

Dive into QuantumTopology's study on invariants of non-singular triangulations for low-dimensional manifolds, requiring 1-2 hours of study.

• YouTube
• 1 hour 23 minutes
• On-Demand
• Free Online Course

Kashaev Invariant for n-Manifolds

Explore Kashaev invariant for n-manifolds with QuantumTopology's material, requiring 1-2 hours of study.

• YouTube
• 1 hour 31 minutes
• On-Demand
• Free Online Course

On the Complexity of Non-Orientable Seifert Manifolds

Dive into the complexity of non-orientable Seifert manifolds with QuantumTopology. Expect 1-2 hours of engaging material.

• YouTube
• 1 hour 26 minutes
• On-Demand
• Free Online Course