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math.GT2004
Embedded spheres in S^2\times S^1#...#S^2\times S^1
Siddhartha Gadgil
We give an algorithm to decide which elements of pi_2(S^2\times S^1#...#S^2\times S^1) can be represented by embedded spheres. Such spheres correspond to splittings of the free gro…
math.GT2004
Heegaard Floer theory and property P
Siddhartha Gadgil
This paper has been withdrawn due to an error in the proof. The paper implicitly assumed that every homotopically trivial knot is related to the unknot by negative crossings, which…
math.GT2003
The derived series and virtual Betti numbers
Siddhartha Gadgil
The virtual Betti number conjecture states that any hyperbolic three-manifold has a finite cover with positive first Betti number. We show that this would follow if it were known t…