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A proof of Thurston's topological characterization of rational functions
Thurston's topological characterization rational functions
2015/8/26
The criterion proved in this paper was stated by Thurston in November 1982. Thurston lectured on its proof on several occasions, notably at the NSF summer conference inDuluth, 1983, where one of the a...
Rational cohomology of \bar R_2 (and \bar S_2)
Rational cohomology \bar R_2 (and \bar S_2)
2011/2/25
In this text we compute the rational cohomology ring of R2, the moduli space of Prym curves of genus 2, which is, as we also show, isomorphic to the rational Chow ring of this space. G. Bini and C.
Rational Fibrations of $\bar{M}_{5,1}$ and $\bar{M}_{6,1}$
Rational Fibrations $\bar{M}_{5,1}$ $\bar{M}_{6,1}$
2011/2/25
This is the second of two papers on the birational geometry ofM g,1. We construct rationalmaps fromM5,1 andM6,1 to lower-dimensional moduli spaces. As a consequence, we identify geometric divisors tha...
Surface operators in 3d Topological Field Theory and 2d Rational Conformal Field Theory
Surface operators 3d Topological Field Theory 2d Rational Conformal Field Theory
2011/3/2
We study surface operators in 3d Topological Field Theory and their relations with 2d Rational Conformal Field Theory.