Read e-book online Differential Characters (Lecture Notes in Mathematics) PDF

By Christian Bär,Christian Becker

Providing a scientific creation to differential characters as brought via Cheeger and Simons, this article describes very important options resembling fiber integration, better dimensional holonomy, transgression, and the product constitution in a geometrical demeanour. Differential characters shape a version of what's these days referred to as differential cohomology, that's the mathematical constitution in the back of the better gauge theories in physics.

 

Show description

Read or Download Differential Characters (Lecture Notes in Mathematics) PDF

Best geometry & topology books

Clifford Henry Taubes's Differential Geometry: Bundles, Connections, Metrics and PDF

Bundles, connections, metrics and curvature are the 'lingua franca' of recent differential geometry and theoretical physics. This booklet will provide a graduate pupil in arithmetic or theoretical physics with the basics of those items. the various instruments utilized in differential topology are brought and the fundamental effects approximately differentiable manifolds, delicate maps, differential varieties, vector fields, Lie teams, and Grassmanians are all provided the following.

Get Topics in Physical Mathematics PDF

As many readers will be aware of, the twentieth century used to be a time whilst the fields of arithmetic and the sciences have been visible as separate entities. because of the speedy progress of the actual sciences and an expanding abstraction in mathematical learn, each one occasion, physicists and mathematicians alike, suffered a false impression; not just of the opposition’s theoretical underpinning, yet of the way the 2 topics may be intertwined and successfully applied.

Towards the Mathematics of Quantum Field Theory (Ergebnisse by Frederic Paugam PDF

This formidable and unique ebook units out to introduce to mathematicians (even together with graduate scholars ) the mathematical tools of theoretical and experimental quantum box thought, with an emphasis on coordinate-free shows of the mathematical gadgets in use. This in flip promotes the interplay among mathematicians and physicists by means of offering a typical and versatile language for the great of either groups, although mathematicians are the first aim.

William L. Burke's Applied Differential Geometry PDF

This can be a self-contained introductory textbook at the calculus of differential types and smooth differential geometry. The meant viewers is physicists, so the writer emphasises purposes and geometrical reasoning on the way to supply effects and ideas an exact yet intuitive that means with no getting slowed down in research.

Extra resources for Differential Characters (Lecture Notes in Mathematics)

Example text

Download PDF sample

Differential Characters (Lecture Notes in Mathematics) by Christian Bär,Christian Becker


by Steven
4.2

Rated 4.00 of 5 – based on 16 votes