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math.GT2001
Contact Structures on elliptic 3-manifolds
Siddhartha Gadgil
We show that an oriented elliptic 3-manifold admits a universally tight positive contact structure iff the corresponding group of deck transformations on preserves a standard…
math.GT2001
A proof of a homeomorphism theorem of Waldhausen
Siddhartha Gadgil, Gadde A. Swarup
We give a short proof of Waldhausen's homeomorphism theorem for orientable Haken 3-manifolds.
math.GR2001
On the Andrews-Curtis conjecture and algorithms from topology
Siddhartha Gadgil
We relate the Andrews-Curtis conjecture to the triviality problem for balanced presentations of groups using algorithms from 3-manifold topology. Implementing this algorithm could…
math.GT2001
Equivariant framings, lens spaces and Contact structures
Siddhartha Gadgil
We construct a simple topological invariant of certain 3-manifolds, including quotients of the 3-sphere by finite groups, based on the fact that the tangent bundle of an orientable…