Differentiable Manifolds II
Math 519, Spring 2020

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Course Details

Lectures: TTh 11:00-12:20, 447 Altgeld Hall

Instructor: Ely Kerman, ekerman@math.uiuc.edu

Office: 273 Altgeld Hall/ 365 Altgeld Hall

Office Hours: Thursday 1:00-3:00 or by appointment.

Some References (not required):

  • John M. Lee, Introduction to Smooth Manifolds.
  • Clifford Taubes, Differential Geometry, Bundles, Connections, Metrics and Curvature.
  • John W. Milnor and James D. Stasheff, Characteristic Classes.
  • Th. Brocker and K. Janich, Introduction to Differential Topology.
  • Charles Nash and Siddartha Sen, Topology and Geometry for Physicists.
  • Rui Loja Fernandes, Lecture Notes on Differential Geometry.
  • Richard L. Bishop, Lecture Notes on Riemannian Geometry.
  • Shoshichi Kobayashi and Katsumi Nomizu, Foundations of Differential Geometry, two volumes.
  • Loring Tu, Differential Geometry, Connections, Curvature, and Characteristic Classes.
  • Ib Madsen and Jorgen Tornehave, From Calculus to Cohomology.

Course Description
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