Logo

Special Course in Functional Analysis: (Non-)Commutative Topology

Special Course in Functional Analysis: (Non-)Commutative Topology
by

Publisher: Aalto TKK
Number of pages: 83

Description:
In this book you will learn something about functional analytic framework of topology. And you will get an access to more advanced literature on non-commutative geometry, a quite recent topic in mathematics and mathematical physics. The prerequisite for this course is some elementary understanding of Banach spaces.

Download or read it online for free here:
Download link
(370KB, PDF)

Similar books

Book cover: Lecture Notes on Seiberg-Witten InvariantsLecture Notes on Seiberg-Witten Invariants
by - Springer
A streamlined introduction to the theory of Seiberg-Witten invariants suitable for second-year graduate students. These invariants can be used to prove that there are many compact topological four-manifolds which have more than one smooth structure.
(5405 views)
Book cover: Floer Homology, Gauge Theory, and Low Dimensional TopologyFloer Homology, Gauge Theory, and Low Dimensional Topology
by - American Mathematical Society
Mathematical gauge theory studies connections on principal bundles. The book provides an introduction to current research, covering material from Heegaard Floer homology, contact geometry, smooth four-manifold topology, and symplectic four-manifolds.
(7660 views)
Book cover: Exact Sequences in the Algebraic Theory of SurgeryExact Sequences in the Algebraic Theory of Surgery
by - Princeton University Press
One of the principal aims of surgery theory is to classify the homotopy types of manifolds using tools from algebra and topology. The algebraic approach is emphasized in this book, and it gives the reader a good overview of the subject.
(5233 views)
Book cover: ManifoldsManifolds
by - King's College London
From the table of contents: Manifolds (Elementary Topology and Definitions); The Tangent Space; Maps Between Manifolds; Vector Fields; Tensors; Differential Forms; Connections, Curvature and Metrics; Riemannian Manifolds.
(4967 views)