3 papers
math.SG2008
The embedded contact homology index revisited
Michael Hutchings
Let Y be a closed oriented 3-manifold with a contact form such that all Reeb orbits are nondegenerate. The embedded contact homology (ECH) index associates an integer to each relat…
math.SG2001
An index inequality for embedded pseudoholomorphic curves in symplectizations
Michael Hutchings
Let be a surface with a symplectic form, let be a symplectomorphism of , and let be the mapping torus of . We show that the dimensions of moduli spaces of embedde…
math.DG1999
Reidemeister torsion in generalized Morse theory
Michael Hutchings
In two previous papers with Yi-Jen Lee, we defined and computed a notion of Reidemeister torsion for the Morse theory of closed 1-forms on a finite dimensional manifold. The presen…