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pro vyhledávání: '"Casella, Alex"'
Suppose a relatively elliptic representation $\rho$ of the fundamental group of the thrice-punctured sphere $S$ is given. We prove that all projective structures on $S$ with holonomy $\rho$ and satisfying a tameness condition at the punctures can be
Externí odkaz:
http://arxiv.org/abs/2107.06370
Autor:
Ballas, Samuel A., Casella, Alex
Given an orientable ideally triangulated $3$--manifold $M$, we define a system of real valued equations and inequalities whose solutions can be used to construct projective structures on $M$. These equations represent a unifying framework for the cla
Externí odkaz:
http://arxiv.org/abs/1912.12508
Autor:
Casella, Alex
Unlike in hyperbolic geometry, the monodromy ideal triangulation of a hyperbolic once-punctured torus bundle $M_f$ has no natural geometric realisation in Cauchy-Riemann (CR) space. By introducing a new type of $3$--cell, we construct a different cel
Externí odkaz:
http://arxiv.org/abs/1902.03662
Closed essential surfaces in a three-manifold can be detected by ideal points of the character variety or by algebraic non-integral representations. We give examples of closed essential surfaces not detected in either of these ways. For ideal points,
Externí odkaz:
http://arxiv.org/abs/1808.02535
These notes grew out of our learning and applying the methods of Fock and Goncharov concerning moduli spaces of real projective structures on surfaces with ideal triangulations. We give a self-contained treatment of Fock and Goncharov's description o
Externí odkaz:
http://arxiv.org/abs/1801.03913
We generalise work of Young-Eun Choi to the setting of ideal triangulations with vertex links of arbitrary genus, showing that the set of all (possibly incomplete) hyperbolic cone-manifold structures realised by positively oriented hyperbolic ideal t
Externí odkaz:
http://arxiv.org/abs/1509.02233
Autor:
Casella, Alex M.1,2 (AUTHOR), Colantuoni, Carlo3 (AUTHOR), Ament, Seth A.1,4 (AUTHOR) sament@som.umaryland.edu
Publikováno v:
PLoS Computational Biology. 9/7/2022, Vol. 18 Issue 9, p1-21. 21p. 2 Diagrams, 1 Chart, 4 Graphs.
Publikováno v:
Proceedings of the American Mathematical Society, 2017 Aug 01. 145(8), 3543-3560.
Externí odkaz:
https://www.jstor.org/stable/90010746
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