Zhongtao Wu

Perturbed Floer homology of some fibered three-manifolds

Modifying the method of [21], we compute the perturbed

Invariant Metrics with Nonnegative Curvature on Compact Lie Groups

HF^+

On mapping cones of Seifert fibered surgeries

for some special classes of fibered three manifolds in the second highest spin

A bound for rational Thurston–Bennequin invariants

^c

On rational sliceness of Miyazaki's fibered, −amphicheiral knots

-structures

Cosmetic surgeries on knots in S^3

S_{g-2}

Four-ball genus bounds and a refinement of the Ozsváth–Szabó tau invariant

. The special classes considered in this paper include the mapping tori of Dehn twists along a single non-separating curve and along a transverse pair of curves.

Heegaard Floer correction terms and rational genus bounds

We classify the left-invariant metrics with nonnegative sectional curvature on SO(3) and U(2).

Cosmetic surgery in L-space homology spheres

Using the mapping cone of a rational surgery, we give several obstructions for Seifert-fibered surgeries, including obstructions on the Alexander polynomial, the knot Floer homology, the surgery coefficient and the Seifert and four-ball genus of the knot. These generalize the corresponding results in Kronheimer, Mrowka, Ozsvath and Szabo [‘Monopoles and lens space surgeries’, Ann. Math. (2) 165 (2007) 457–546] and Ozsvath and Szabo [On Heegaard Floer homology and Seifert fibered surgeries, Geometry and Topology Monographs 7 (Geometry and Topology Publications, Coventry, 2004)].

A note on Jones polynomial and cosmetic surgery

In this paper, we introduce a rational