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Showing 1 to 2 of 2 for “"Abelian surface"”.
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Applications of conformal field theories in topological phases of matter
… law. We further construct two descendant non-Abelian quantum Hall states at filling 8, each carrying bosonic chiral (G2)1 or (F4)1 edge theories, and hosting Fibonacci anyonic excitations in the bulk. Finally, we discover a new notion of particle-hole conjugation based on the E8 state that …
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The Taylor-Wiles method for reductive groups
… GSp4 and prove a modularity lifting theorem for abelian surfaces over a totally real field F which holds under weaker hypotheses than in the work of Boxer–Calegari–Gee–Pilloni. We deduce some modularity results for elliptic curves over quadratic extensions of F. We further apply our ideas to V. …