Topology and K-Theory

Robert Penner holds the Rene Thom Chair at the Institut des Hautes Etudes Scientifiques in Paris. His research extends across topology, geometry and combinatorics together with their applications to high energy physics and theoretical biology.  Among his previous books areCombinatorics of Train Tracks (Princeton University Press), Discrete Mathematics (World Scientific) and Decorated Teichmueller Theory (European Mathematical Society).

“Quillen is without a doubt one of the most creative and influential mathematicians of his time. The book Topology and K-theory provides an excellent introduction to his work and the research for which he was awarded the Fields Medal in 1978, among others. It will be of great interest to graduate students and researchers interested in higher algebraic K-theory.” (Wojciech Dorabiala, MAA Reviews, February 19, 2023)

• Foreword.- Lecture 1.- Lecture 2.- Lecture 3.- Lecture 4.- Lecture 5.- Lecture 6.- Lecture 7.- Lecture 8.- Lecture 9.- Lecture 10.- Lecture 11.- Lecture 12.- Lecture 13.- Lecture 14.- Lecture 15.- Lecture 16.- Lecture 17.- Lecture 18.- Lecture 19.- Lecture 20.- Lecture 21.- Lecture 22.- Lecture 23.- Lecture 24.- Lecture 25.- Lecture 26.- Lecture 27.- Lecture 28.- Lecture 29.- Lecture 30.- Lecture 31.- Lecture 32.- Lecture 33.- Lecture 34.- Lecture 35.- Lecture 36.- Lecture 37.- Lecture 38.- Afterword by Mikhail Kapranov.- References.- Index.