9 citations · 17 across the 4 of their papers we have counts for
6 papers
Lagrangian torus invariants using ECH = SWF
Chris Gerig
We construct distinguished elements in the embedded contact homology (and monopole Floer homology) of a 3-torus, associated with Lagrangian tori in symplectic 4-manifolds and their…
No homotopy 4-sphere invariants using ECH = SWF
Chris Gerig
In relation to the 4-dimensional smooth Poincaré conjecture we construct a tentative invariant of homotopy 4-spheres using embedded contact homology (ECH) and Seiberg-Witten theory…
Seiberg-Witten and Gromov invariants for self-dual harmonic 2-forms
Chris Gerig
This is the sequel to the author's previous paper which gives an extension of Taubes' "SW=Gr" theorem to non-symplectic 4-manifolds. The main result of this paper asserts the follo…
Taming the pseudoholomorphic beasts in
Chris Gerig
For a closed oriented smooth 4-manifold X with , the Seiberg-Witten invariants are well-defined. Taubes' "SW=Gr" theorem asserts that if X carries a symplectic form the…
Generic transversality for unbranched covers of closed pseudoholomorphic curves
Chris Gerig, Chris Wendl
We prove that in closed almost complex manifolds of any dimension, generic perturbations of the almost complex structure suffice to achieve transversality for all unbranched multip…
Essential Cohomology of the p-Groups with a Cyclic Subgroup of Index p
Christopher Gerig
In this paper we determine explicitly the mod-p essential cohomology ideals of the p-groups with a cyclic subgroup of index p.