Math Papers

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S^1-equivariant symplectic homology and linearized contact homology
joint work with Alexandru Oancea.

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We present three equivalent definitions of S^1-equivariant symplectic homology. We show that, using rational coefficients, the positive part of S^1-equivariant symplectic homology is isomorphic to linearized contact homology, when the latter is defined. We present several computations and applications, as well as a rigorous definition of cylindrical/linearized contact homology based on an S^1-equivariant construction.

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This paper appeared in International Mathematics Research Notices.

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