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  • Hyperbolic Knot Theory 
    RAGHUNATH, SRIRAM (2020-04)
    In this thesis, we study Thurston’s approach to finding complete hyperbolic structures on 3-manifolds using ideal triangulations. This approach involves solving a set of equations called the Thurston’s gluing equations. ...
  • Pachner moves on geometric triangulation 
    PHANSE, ADVAIT (Dept. of Mathematics, 2020-05)
    As every smooth manifold can be smoothly triangulated so triangulations are a useful tool to combinatorially study manifolds. It is known that any two smooth triangulations of a manifold are related by a finite sequence ...
  • Hyperbolic Knot Theory and Geometric Triangulations 
    BHAT, MEGHA DINESH (2022-05)
    We begin by studying hyperbolic geometry and hyperbolic structures on manifolds, looking at classical examples of hyperbolic manifolds and some important results on their structure and rigidity. We study hyperbolic knot ...

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