6 citations · 11 across the 3 of their papers we have counts for
4 papers
Bistellar Cluster Algebras and Piecewise Linear Invariants
Alastair Darby, Fang Li, Zhi Lu
Inspired by the ideas and techniques used in the study of cluster algebras we construct a new class of algebras, called bistellar cluster algebras, from closed oriented triangulate…
Torus orbifolds with two fixed points
Alastair Darby, Shintaro Kuroki, Jongbaek Song
The main objects of this paper are torus orbifolds that have exactly two fixed points. We study the equivariant topological type of these orbifolds and consider when we can use the…
Equivariant cohomology of torus orbifolds
Alastair Darby, Shintaro Kuroki, Jongbaek Song
We calculate the integral equivariant cohomology, in terms of generators and relations, of locally standard torus orbifolds whose odd degree ordinary cohomology vanishes. We begin…
Torus Manifolds in Equivariant Complex Bordism
Alastair Darby
We restrict geometric tangential equivariant complex -bordism to torus manifolds and provide a complete combinatorial description of the appropriate non-commutative ring. We d…