An introductory course in di erential geometry and the Atiyah ...

• exposé

An introductory course in differential geometry and the Atiyah-Singer index theorem Paul Loya Binghamton University, Binghamton NY 13902-6000 E-mail address:

• topological aspect of the index
• euler characteristic of the circle
• linear map
• dimension theorem
• diagonal matrix with entries
• dim
• dimensional vector spaces
• index
• matrix
• euclidean space