Polygonal Presentations: Classification of Surfaces

Related lectures (28)

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Covers the topology of Riemann surfaces and the concept of triangulation using finitely many triangles.

Explains closed surfaces like spheres, cubes, and cones without covers, and their traversal and removal of edges.

Explains the parametric equations of surfaces of revolution generated by curves in space.

Covers graph algorithms, modeling relationships between objects, and traversal techniques like BFS and DFS.

Covers the concept of bounding the Poisson bracket invariant on surfaces, exploring joint work with A. Logunov and S. Tanny.

Explores the construction of Riemann surfaces from equilateral triangles and the dynamics of finite-type maps.

Explores the difference between ideal and real surfaces, defects, and surface reconstructions.

Covers surface integrals with a focus on regular parametrization and the importance of understanding the normal vector.

Introduces graph theory basics, graph representation methods, and traversal algorithms like BFS and DFS.

Explores surfaces with variable curvature, discussing their construction and properties.