What are $E_{\infty}$ ring spaces good for?
| dc.creator | May, J. P. | |
| dc.date | 2009-03-16 | |
| dc.date.accessioned | 2026-07-07T12:52:55Z | |
| dc.date.available | 2026-07-07T12:52:55Z | |
| dc.description | Infinite loop space theory, both additive and multiplicative, arose largely from two basic motivations. One was to solve calculational questions in geometric topology. The other was to better understand algebraic K-theory. The Adams conjecture is intrinsic to the first motivation, and Quillen's proof of that led directly to his original, calculationally accessible, definition of algebraic K-theory. In turn, the infinite loop understanding of algebraic K-theory feeds back into the calculational questions in geometric topology. For example, use of infinite loop space theory leads to a method for determining the characteristic classes for topological bundles (at odd primes) in terms of the cohomology of finite groups. We explain just a little about how all that works, focusing on the central role played by E infinity ring spaces. | |
| dc.description | 26 pages. To appear in Geometry and Topology (Banff Conference Proceedings) | |
| dc.identifier | https://arxiv.org/abs/0903.2819 | |
| dc.identifier | http://arxiv.org/abs/0903.2819 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/223456 | |
| dc.subject | Algebraic Topology | |
| dc.title | What are $E_{\infty}$ ring spaces good for? | |
| dc.type | text |