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• W1661659346 abstract "We survey some of our recent results on length series identities for hyperbolic (cone) surfaces, possibly with cusps and/or boundary geodesics; classical Schottky groups; representations/characters of the one-holed torus group to $SL(2, mathbf C)$; and hyperbolic 3 manifolds obtained by hyperbolic Dehn surgery on punctured torus bundles over the circle. These can be regarded as generalizations and variations of McShane's identity for cusped hyperbolic surfaces, which has found some striking applications in the recent work of Mirzakhani. We discuss some of the methods and techniques used to obtain these identities." @default.
• W1661659346 created "2016-06-24" @default.
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• W1661659346 date "2006-07-05" @default.
• W1661659346 modified "2023-09-27" @default.
• W1661659346 title "A survey of length series identities for surfaces, % 3-manifolds and representation varieties" @default.
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