Download E-books Loop Spaces, Characteristic Classes and Geometric Quantization (Modern Birkhäuser Classics) PDF

This publication examines the differential geometry of manifolds, loop areas, line bundles and groupoids, and the kinfolk of this geometry to mathematical physics. functions awarded within the booklet contain anomaly line bundles on loop areas and anomaly functionals, imperative extensions of loop teams, Kähler geometry of the distance of knots, and Cheeger--Chern--Simons secondary features sessions. It additionally covers the Dirac monopole and Dirac’s quantization of charge.

Show description

Read or Download Loop Spaces, Characteristic Classes and Geometric Quantization (Modern Birkhäuser Classics) PDF

Similar Differential Geometry books

Surgery on Simply-Connected Manifolds

This ebook is an exposition of the means of surgical procedure on simply-connected tender manifolds. Systematic learn of differentiable manifolds utilizing those principles used to be started via Milnor [45] and Wallace [68] and built broadly within the final ten years. it's now attainable to provide a pretty whole concept of simply-connected manifolds of measurement ~ five utilizing this method and that's what i'm going to attempt to commence right here.

Lie Sphere Geometry: With Applications to Submanifolds (Universitext)

Thomas Cecil is a math professor with an unrivalled snatch of Lie Sphere Geometry. right here, he presents a transparent and accomplished glossy therapy of the topic, in addition to its purposes to the research of Euclidean submanifolds. It starts with the development of the gap of spheres, together with the elemental notions of orientated touch, parabolic pencils of spheres, and Lie sphere ameliorations.

The Geometry of Kerr Black Holes (Dover Books on Physics)

This specific monograph by means of a famous UCLA professor examines intimately the maths of Kerr black holes, which own the homes of mass and angular momentum yet hold no electric cost. appropriate for complicated undergraduates and graduate scholars of arithmetic, physics, and astronomy in addition to specialist physicists, the self-contained therapy constitutes an creation to trendy ideas in differential geometry.

The Penrose Transform: Its Interaction with Representation Theory (Dover Books on Mathematics)

"Brings to the reader a major volume of knowledge, good geared up and condensed into below 200 pages. " — Mathematical ReviewsIn fresh many years twistor thought has develop into a major concentration for college students of mathematical physics. critical to twistor concept is the geometrical remodel often called the Penrose remodel, named for its groundbreaking developer.

Extra info for Loop Spaces, Characteristic Classes and Geometric Quantization (Modern Birkhäuser Classics)

Show sample text content

Rated 4.68 of 5 – based on 41 votes