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Author:

Sanchez, Jesus

Title:

Local Index Theory and Cyclic Cohomology

Graduate Program:

Mathematics

Keywords:

Differential Geometry
Cyclic Cohomology
Index Theory

File:

Download Jesus_Thesis.pdf

Committee Members:

Radu Roiban, Outside Unit & Field Member
Nigel Higson, Chair & Dissertation Advisor
Alberto Bressan, Major Field Member
Jeffrey Case, Major Field Member
Alexei Novikov, Professor in Charge/Director of Graduate Studies

Author:

Haj Saeedi Sadegh, Ahmad Reza

Title:

The Local Index Theorem and the Tangent Groupoid

Graduate Program:

Mathematics

Keywords:

Index Theorem
Groupoid
Spinors
Dirac Operator
Cyclic Cohomology
Rescaled Bundle
Rescaling
Harmonic Oscillator
Heat Equation

File:

Download My_Dissertation.pdf

Committee Members:

Murat Gunaydin, Outside Unit & Field Member
Ping Xu, Major Field Member
Nigel Higson, Chair & Dissertation Advisor
Nathanial Brown, Major Field Member
Alexei Novikov, Professor in Charge/Director of Graduate Studies