K-theory and elliptic operators
| dc.creator | Landweber, Gregory D. | |
| dc.date | 2005-04-27 | |
| dc.date.accessioned | 2026-07-07T05:19:26Z | |
| dc.date.available | 2026-07-07T05:19:26Z | |
| dc.description | This expository paper is an introductory text on topological K-theory and the Atiyah-Singer index theorem, suitable for graduate students or advanced undegraduates already possessing a background in algebraic topology. The bulk of the material presented here is distilled from Atiyah's classic "K-Theory" text, as well as his series of seminal papers "The Index of Elliptic Operators" with Singer. Additional topics include equivariant K-theory, the G-index theorem, and Bott's paper "The Index Theorem for Homogeneous Differential Operators". It also includes an appendix with a proof of Bott periodicity, as well as sketches of proofs for both the standard and equivariant versions of the K-theory Thom isomorphism theorem, in terms of the index for families of elliptic operators. A second appendix derives the Atiyah-Hirzebruch spectral sequence. This text originated as notes from a series of lectures given by the author as an undergraduate at Princeton. In its current form, the author has used it for graduate courses at the University of Oregon. | |
| dc.description | 50 pages | |
| dc.identifier | https://arxiv.org/abs/math/0504555 | |
| dc.identifier | http://arxiv.org/abs/math/0504555 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75020 | |
| dc.subject | Algebraic Topology | |
| dc.subject | K-Theory and Homology | |
| dc.subject | Primary: 55N15, 58J20; Secondary: 19L47 | |
| dc.title | K-theory and elliptic operators | |
| dc.type | text |