12 citations · 72 across the 27 of their papers we have counts for
31 papers
Moment angle complexes and duality for tight manifolds
Daisuke Kishimoto, Donald Stanley, Carlos Gabriel Valenzuela Ruiz
For a field and a triangulated compact -orientable manifold, consider the homology of the associated Moment-Angle ccomplex …
Double homology and wedge-decomposable simplicial complexes
Donald Stanley, Carlos Gabriel Valenzuela Ruiz
We show a wedge-decomposable simplicial complex has associated double homology in bidegrees , .
Weighted polyhedral products and Steenrod's problem
Tseleung So, Donald Stanley, Stephen Theriault
We construct a weighted version of polyhedral products and compute its cohomology in special cases. This is applied to resolve Steenrod's cohomology realization problem in a case r…
A stability theorem for bigraded persistence barcodes
Anthony Bahri, Ivan Limonchenko, Taras Panov +2
We define bigraded persistent homology modules and bigraded barcodes of a finite pseudo-metric space X using the ordinary and double homology of the moment-angle complex associated…
Multiparameter persistence modules in the large scale
Martin Frankland, Donald Stanley
A persistence module with discrete parameters is a diagram of vector spaces indexed by the poset . If we are only interested in the large scale behavior of such a…
The Fundamental Group of Torus Knots
Ilyas Aderogba Mustapha, Paul Arnaud Songhafouo, Donald Stanley
This work is concerned with the calculation of the fundamental group of torus knots. Torus knots are special types of knots which wind around a torus a number of times in the longi…