QuantumTopology Courses

Complexity of Virtual Manifolds

Dive into the complexity of virtual manifolds with E. Fominykh's 1-2 hour material from QuantumTopology.

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

When Double-Orientable Seifert Manifold Contains an Odd Surface?

Explore the conditions under which a double-orientable Seifert manifold contains an odd surface with QuantumTopology. Expect 1-2 hours of study.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Online Course

A. Akimova - Classification of Prime Virtual Knots of Genus 1 With Low Complexity

Dive into QuantumTopology's study on prime virtual knots of genus 1 with low complexity, requiring 1-2 hours of engagement.

• YouTube
• 1 hour 21 minutes
• On-Demand
• Free Online Course

The Basics of TQFT

Learn the basics of TQFT with Ph. Korablev in a 1-2 hour program offered by QuantumTopology.

• YouTube
• 1 hour 33 minutes
• On-Demand
• Free Online Course

R. Kashaev - The Connection Between Integrals and Fourier Series

Explore the link between integrals and Fourier series with QuantumTopology's material, requiring 1-2 hours of study.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Online Course

S. Matveev - Dijgraaf-Witten Invariants for Seifert Manifolds

Explore Dijgraaf-Witten invariants for Seifert manifolds with QuantumTopology. A 1-2 hour study on the subject.

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

V. Tarkaev - Construction of the Khovanov Homology

Dive into the construction of Khovanov homology with V. Tarkaev's 1-2 hour material from QuantumTopology.

• YouTube
• 1 hour 28 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

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