Topics in Cyclic Theory

This accessible introduction for Ph.D. students and non-specialists provides Quillen's unique development of cyclic theory.

About the author

Daniel G. Quillen proved Adam's conjecture in topological K-theory, and Serre's conjecture that all projective modules over a polynomial ring are free. He was awarded the Cole Prize in Algebra and the Fields Medal in 1978. He was Waynflete Professor of Pure Mathematics at the University of Oxford, where he lectured on K-theory and cyclic homology.Gordon Blower is Professor of Mathematical Analysis at Lancaster University, with interests in random matrices and applications of operator theory. He attended Quillen's lectures on cyclic theory when he was a junior researcher in Oxford.

Summary

Noncommutative geometry combines themes from algebra, analysis and geometry and has many applications to physics. This book focuses on cyclic theory, containing background not found in published papers. It is intended for Ph.D. students in analysis and geometry, and researchers using K-theory, cyclic theory, differential geometry and index theory.

Product details

• Authors: Daniel G. Quillen, Gordon Blower, Daniel G. (University of Oxford) Blower Quillen, Daniel G Quillen, Daniel G. (University of Oxford) Quillen, Gordon (Lancaster University) Blower, Quillen Daniel G., Blower Gordon
• Publisher: Cambridge University Press ELT
• Content: Book
• Product form: Hardback
• Publication date: 31.08.2020
• Subject: Natural sciences, medicine, IT, technology > Physics, astronomy > General, dictionaries
• EAN: 9781108479615
• ISBN: 978-1-108-47961-5
• Pages: 328
• Series: London Mathematical Society Student Texts; London Mathematical Society St > 97
• Subjects: MATHEMATICS / Topology; Mathematical physics; Differential & Riemannian geometry; Differential and Riemannian geometry; Mathematical / Computational / Theoretical physics