538 citations · 672 across the 28 of their papers we have counts for
15 papers · 1 filter
On a class of symplectic -orbifolds with vanishing canonical class
Weimin Chen
A study of certain symplectic -orbifolds with vanishing canonical class is initiated. We show that for any such symplectic -orbifold , there is a canonically constructed s…
Finite group actions on symplectic Calabi-Yau -manifolds with
Weimin Chen
This is the first of a series of papers devoted to the topology of symplectic Calabi-Yau -manifolds endowed with certain symplectic finite group actions. We completely determine…
-minimality and invariant negative spheres in -Hirzebruch surfaces
Weimin Chen
In this paper a study of -minimality, i.e., minimality of four-manifolds equipped with an action of a finite group , is initiated. We focus on cyclic actions on $CP^2\# \over…
Hurwitz-type bound, knot surgery, and smooth $\s^1$-four-manifolds
Weimin Chen
In this paper we prove several related results concerning smooth or $\s^1$ actions on 4-manifolds. We show that there exists an infinite sequence of smooth 4-manifolds …
Fixed-point free circle actions on 4-manifolds
Weimin Chen
This paper is concerned with fixed-point free -actions (smooth or locally linear) on orientable 4-manifolds. We show that the fundamental group plays a predominant role in the…
Seiberg-Witten invariants of 3-orbifolds and non-Kähler surfaces
Weimin Chen
A formula is given which computes the Seiberg-Witten invariant of a 3-orbifold from the invariant of the underlying manifold. As an application, we derive a formula for the Seiberg…