Timeline for What are some interesting problems in the intersection of Algebraic Number Theory and Algebraic Topology?
Current License: CC BY-SA 3.0
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| Nov 14, 2017 at 3:42 | comment | added | j0equ1nn | This is the main book I studied for my PhD. Number fields and quaternion algebras arise naturally as invariants of commensurability classes of hyperbolic $3$-manifolds. In this theory the number theory is informing the topology. I think that usually people are looking for things to go in the other direction (use anything and everything you can to answer number theory problems), but the process of taking a purely arithmetic fact and using it to distinguish topological structures is really beautifully done in this book, and you can find many other articles on the topic too. | |
| Jul 29, 2012 at 16:51 | history | made wiki | Post Made Community Wiki by François G. Dorais | ||
| Jul 26, 2012 at 23:06 | vote | accept | Steven | ||
| Jul 26, 2012 at 23:06 | |||||
| Jul 26, 2012 at 21:59 | history | answered | Ryan Budney | CC BY-SA 3.0 |