most recent 30 from http://mathoverflow.net 2013-05-23T00:43:06Z http://mathoverflow.net/feeds/question/74287 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/74287/fractional-quantum-hall-effect-mathematics Peadar Coyle 2011-09-01T19:56:23Z 2012-05-28T04:50:40Z

<p>Just to include something that starts to answer my own question <a href="http://books.google.com/books?id=jkzVwceFaAsC&amp;dq=zhenghan+wang+topological+quantum+computation&amp;source=gbs_navlinks_s" rel="nofollow">Topological Quantum Computation Lecture notes</a> covers a lot of the Mathematics of the Fractional Quantum Hall effect, or topological quantum computation. Such as Ribbon Categories, Modular functors, etc Does anyone have other recommendations, for fusion algebras, the underlying representation theory,and quantum topology. Are Kevin Walkers TQFT notes good for instance? I understand a lot of Chern Simons theory, but still have problems and most of CFT is alien to me. So what are some good sources for the Mathematics of the Fractional Quantum Hall effect and Topological Quantum Computation. I appreciate however that the vast majority of the literature from a Mathematical point of view is in Topological Quantum Field Theories. Audience: I'm a Mathematics Masters student with a BSc in Physics, so can stomach a fair bit of quantum mechanics. I do however find the literature on CFT to be intimitating!</p>

http://mathoverflow.net/questions/74287/fractional-quantum-hall-effect-mathematics/74291#74291 Carlo Beenakker 2011-09-01T20:59:19Z 2011-09-02T14:22:04Z

<p>The fractional quantum Hall effect contains much semiconductor physics that will likely only distract you, as a mathematician. In particular, it is not even established whether the fractional quantum Hall effect supports a topologically nontrivial phase at all. (Much of the uncertainy comes from the fact that the two-dimensional electron gas actually extends in the third dimension.) From a mathematical perspective, this link contains a variety of pointers to the literature:</p> <p><a href="http://mathoverflow.net/questions/359/a-reading-list-for-topological-quantum-field-theory/63228#63228" rel="nofollow">http://mathoverflow.net/questions/359/a-reading-list-for-topological-quantum-field-theory/63228#63228</a></p>

http://mathoverflow.net/questions/74287/fractional-quantum-hall-effect-mathematics/74376#74376 Peadar Coyle 2011-09-02T16:39:53Z 2011-09-02T16:39:53Z

<p><a href="http://www.math.ucsb.edu/~jliptrap/" rel="nofollow">http://www.math.ucsb.edu/~jliptrap/</a> is a link to some recent work in Quantum Topology, at UCSB by a PhD student of Zhenghan Wang. There is some mathematics of the fractional quantum hall effect there. </p>

http://mathoverflow.net/questions/74287/fractional-quantum-hall-effect-mathematics/98165#98165 Xiao-Gang Wen 2012-05-28T04:50:40Z 2012-05-28T04:50:40Z

<p>Here is <a href="http://arxiv.org/abs/1203.3268" rel="nofollow">a review</a> of FQHE for mathematicians.</p>