Ptolemy coordinates, Dehn invariant and the A-polynomial
نویسندگان
چکیده
منابع مشابه
Dehn Twists and Invariant Classes
A degeneration of compact Kähler manifolds gives rise to a monodromy action on Betti moduli space H (X,G) = Hom(π1(X), G)/G over smooth fibres with a complex algebraic structure group G being either abelian or reductive. Assume that the singularities of the central fibre is of normal crossing. When G = C, the invariant cohomology classes arise from the global classes. This is no longer true in ...
متن کاملDehn Twists and Invariant Cocycles
A degeneration of compact Kähler manifolds gives rise to a monodromy action on Betti moduli space H (X,G) = Hom(π1(X), G)/G over smooth fibres with a complex algebraic structure group G being either abelian or reductive. Assume that the singularities of the central fibre is of normal crossing. When G = C, the invariant cocycles arise from the global cocycles. This is no longer true in general. ...
متن کاملDehn Filling, Volume, and the Jones Polynomial
Given a hyperbolic 3–manifold with torus boundary, we bound the change in volume under a Dehn filling where all slopes have length at least 2π. This result is applied to give explicit diagrammatic bounds on the volumes of many knots and links, as well as their Dehn fillings and branched covers. Finally, we use this result to bound the volumes of knots in terms of the coefficients of their Jones...
متن کاملA new invariant on hyperbolic Dehn surgery space
In this paper we define a new invariant of the incomplete hyperbolic structures on a 1-cusped finite volume hyperbolic 3-manifold M , called the ortholength invariant. We show that away from a (possibly empty) subvariety of excluded values this invariant both locally parameterises equivalence classes of hyperbolic structures and is a complete invariant of the Dehn fillings of M which admit a hy...
متن کاملComputing Dehn Twists and Geometric Intersection Numbers in Polynomial Time
Simple curves on surfaces are often represented as sequences of intersections with a triangulation. However, topologists have much more succinct ways of representing simple curves such as normal coordinates which are exponentially more succinct than intersection sequences. Nevertheless, we show that the following two basic tasks of computational topology, namely performing a Dehn-twist of a cur...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2015
ISSN: 0025-5874,1432-1823
DOI: 10.1007/s00209-015-1608-3