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PIerre Albin
University of Illinois, Urbana-Champaign
Reference #
OMN:201701.110667

Attributes

Posted date
2017-01-18 18:34:54
Revised date
2017-01-18 18:52:08
Level
   Graduate
Notes type
   Topics Course
Topic
   Analysis
      Geometric Analysis

Linear Analysis on Manifolds

This text is a version of the lecture notes used during a course at the University of Illinois at Urbana-Champaign in Spring 2012 and a course at the University of Rome ‘La Sapienza’ in Summer 2014, as well as several reading courses. Previous exposure to a course differentiable manifolds is assumed. The aim of the course is to introduce students to the techniques of geometric analysis on manifolds and establish the Atiyah-Singer index theorem.

Course Notes and Supplementary Material (PDF format)

TypeFile (Size)Date
Course notes v2 PDF (1.3M) 02/21/17