Bear is a software designed for analyzing Bers slices of punctured tori, providing researchers and mathematicians with an efficient tool for studying the topology of these structures.
Bear is an incredible tool that serves as a complete package for analyzing and studying Bers slices of punctured tori. This software is geared towards mathematical researchers and it is an invaluable resource for calculating and testing discreteness of holonomy representations of complex projective structures on punctured tori.
One of the most impressive features of Bear is its ability to draw accurate visual representations of Bers slices. This helps users explore the geometry of quasifuchsian space in the SL2(C) representation variety. Additionally, the software boasts powerful scripting capabilities. Users can create complex animations or automate larger calculations effortlessly.
Bear computes holonomy by applying standard ODE integration techniques to the Schwarzian differential equation. Currently, it uses an ODE solver from the GNU Scientific Library (GSL). On top of this, it includes the first implementation of a discreteness algorithm for punctured torus groups based on the paper "Markoff triples and quasifuchsian groups" by Brian Bowditch, published in Proc. London. Math. Soc. 77 (1998) 697--736.
This release includes bugfixes, code improvements, and a new module for computing McShane-type sums over the tree of Markov triples. Overall, Bear is an incredibly useful software for mathematical researchers interested in analyzing and studying Bers slices of punctured tori. The software's features make it an effective tool for generating accurate visual representations and automating complex calculations.
One of the most impressive features of Bear is its ability to draw accurate visual representations of Bers slices. This helps users explore the geometry of quasifuchsian space in the SL2(C) representation variety. Additionally, the software boasts powerful scripting capabilities. Users can create complex animations or automate larger calculations effortlessly.
Bear computes holonomy by applying standard ODE integration techniques to the Schwarzian differential equation. Currently, it uses an ODE solver from the GNU Scientific Library (GSL). On top of this, it includes the first implementation of a discreteness algorithm for punctured torus groups based on the paper "Markoff triples and quasifuchsian groups" by Brian Bowditch, published in Proc. London. Math. Soc. 77 (1998) 697--736.
This release includes bugfixes, code improvements, and a new module for computing McShane-type sums over the tree of Markov triples. Overall, Bear is an incredibly useful software for mathematical researchers interested in analyzing and studying Bers slices of punctured tori. The software's features make it an effective tool for generating accurate visual representations and automating complex calculations.
What's New
Version 0.9.7: N/A