2 citations · 2 across the 3 of their papers we have counts for
6 papers
On a theorem of Peters on automorphisms of Kahler surfaces
Weimin Chen
For any Kahler surface which admits no nonzero holomorphic vectorfields, we consider the group of holomorphic automorphisms which induce identity on the second rational cohomology.…
Pseudoholomorphic curves in four-orbifolds and some applications
Weimin Chen
The main purpose of this paper is to summarize the basic ingredients, illustrated with examples, of a pseudoholomorphic curve theory for symplectic 4-orbifolds. These are extension…
Smooth s-cobordisms of elliptic 3-manifolds
Weimin Chen
The main result of this paper states that a symplectic s-cobordism of elliptic 3-manifolds is diffeomorphic to a product (assuming a canonical contact structure on the boundary). B…
Orbifold Gromov-Witten Theory
Weimin Chen, Yongbin Ruan
In this article, we introduce the notion of good map and use it to establish Gromov-Witten theory for orbifolds.
A Homotopy Theory of Orbispaces
Weimin Chen
In 1985, physicists Dixon, Harvey, Vafa and Witten studied string theories on Calabi-Yau orbifolds (cf. [DHVW]). An interesting discovery in their paper was the prediction that a c…
Orbifold Quantum Cohomology
Weimin Chen, Yongbin Ruan
This is a research announcement of the theory of orbifold quantum cohomology.