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Asymptotic formulas for curve operators in TQFT
Asymptotic formulas curve operators TQFT Geometric Topology
2012/6/21
Topological quantum field theories with gauge group $\textrm{SU}_2$ associate to each surface with marked points $\Sigma$ and each integer $r>0$ a vector space $V_r (\Sigma)$ and to each simple closed...
Geometry of the Homology Curve Complex
the Homology Curve Complex Geometry Geometric Topology
2011/9/14
Abstract: Suppose $S$ is a closed, oriented surface of genus $g \geq 2$. This paper investigates the geometry of the "homology multicurve complex", $\mathcal{HC}(S,\alpha)$, of $S$; a complex closely ...
Separating Curve Complex of the Genus Two Surface is Hyperbolic
Curve Complex the Genus Two Surface Hyperbolic Geometric Topology
2011/9/8
Abstract: A proof that the separating curve complex of the closed genus two surface has a quasi-distance formula and is delta hyperbolic using tools of Masur and Schleimer. This answers in the affirma...