6533b7cffe1ef96bd12590f4

RESEARCH PRODUCT

Coordinates for quasi-Fuchsian punctured torus space

Jouni ParkkonenJohn R. Parker

subject

Pure mathematicsMathematics::Dynamical SystemsLog-polar coordinatesMathematical analysisCanonical coordinatesGeometric Topology (math.GT)Action-angle coordinates20H10 32G15Plücker coordinatesParabolic coordinatesMathematics::Geometric TopologyMathematics - Geometric TopologyOrthogonal coordinatesFOS: MathematicsConfiguration spaceMathematicsBipolar coordinates

description

We consider complex Fenchel-Nielsen coordinates on the quasi-Fuchsian space of punctured tori. These coordinates arise from a generalisation of Kra's plumbing construction and are related to earthquakes on Teichmueller space. They also allow us to interpolate between two coordinate systems on Teichmueller space, namely the classical Fuchsian space with Fenchel-Nielsen coordinates and the Maskit embedding. We also show how they relate to the pleating coordinates of Keen and Series.

yearjournalcountryeditionlanguage
1998-10-26
https://dx.doi.org/10.48550/arxiv.math/9810199