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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
Open manifolds, Ozsvath-Szabo invariants and Exotic R^4's
Siddhartha Gadgil
We construct an invariant of open four-manifolds using the Heegaard Floer theory of Ozsvath and Szabo. We show that there is a manifold X homeomorphic to R^4 for which the invarian…
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This paper has been withdrawn due to an error in the proof.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…