Professor: Severino Toscano do Rego Melo

O material coberto por esta disciplina está contido nos 3 primeiros capítulos de:
Principal Referência: David Bleecker and Bernhelm Booss-Bavnbek, Index Theory with Applications to Mathematics and Physics. International Press, 2013. pdf

Outras referências
Atiyah, K-Theory.
Rodrigo Dias, Continuous Deformations of Fredholm Operators. Dissertação de mestrado, IME-USP, 2021. pdf.
A. Mukherjee. Atiyah-Singer Index Theorem: an introduction. Hindustan Book Agency, 2013.
R. G. Douglas. Banach Algebra Techniques in Operator Theory. Academic Press, 1972.
H.O.Cordes. Elliptic Pseudo-Differential Operators - An Abstract Theory. Springer Lecture Notes in Mathmatics 756, 1979.
J. Breen. Fredholm Operators and the Family Index. Senior Thesis, Northwestern University, 2016. pdf
Rodrigo Andrade. O Teorema do Índice para o Círculo. Dissertação de mestrado, IME-USP, 2008. pdf
Erik van den Ban and Marius Crainic. Analysis on Manifolds. Utrecht, 2017. pdf
A Álgebra de Toeplitz
O Índice dos Operadores de Toeplitz (Notas de aula)

Exercícios
Exercícios sobre operadores de Fredholm (Álgebra Linear)

Notas de Aula
Notas de Aula (incompletas). Arquivo tex.