Logo

Topology and Physics: A Historical Essay

Small book cover: Topology and Physics: A Historical Essay

Topology and Physics: A Historical Essay
by

Publisher: arXiv
Number of pages: 60

Description:
In this essay we wish to embark on the telling of a story which, almost certainly, stands only at its beginning. We shall discuss the links and the interaction between one very old subject, physics, and a much newer one, topology.

Home page url

Download or read it online for free here:
Download link
(630KB, PDF)

Similar books

Book cover: Optimization Algorithms on Matrix ManifoldsOptimization Algorithms on Matrix Manifolds
by - Princeton University Press
Many science and engineering problems can be rephrased as optimization problems on matrix search spaces endowed with a manifold structure. This book shows how to exploit the structure of such problems to develop efficient numerical algorithms.
(13045 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.
(6437 views)
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.
(6685 views)
Book cover: Noncommutative Localization in Algebra and TopologyNoncommutative Localization in Algebra and Topology
by - Cambridge University Press
Noncommutative localization is a technique for constructing new rings by inverting elements, matrices and more generally morphisms of modules. The applications to topology are via the noncommutative localizations of the fundamental group rings.
(5891 views)