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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.DG2004
Limits of functions and elliptic operators
Siddhartha Gadgil
We show that a subspace of the space of real analytical functions on a manifold that satisfies certain regularity properties is contained in the set of solutions of a linear el…
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This paper has been withdrawn due to an error in the proof.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…