12 citations · 72 across the 27 of their papers we have counts for
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math.RA2018★ 7 cited
Exact weights, path metrics, and algebraic Wasserstein distances
Peter Bubenik, Jonathan Scott, Donald Stanley
We use weights on objects in an abelian category to define what we call a path metric. We introduce three special classes of weight: those compatible with short exact sequences; th…
math.AT2018
Classification of homogeneous functors in manifold calculus
Paul Arnaud Songhafouo Tsopmene, Donald Stanley
For any object A in a simplicial model category M, we construct a topological space  which classifies homogeneous functors whose value on k open balls is equivalent to A. This ext…
math.AT2018
Cohomology Rings of a Class of Torus Manifolds
Soumen Sarkar, Donald Stanley
Torus manifolds are topological generalization of smooth projective toric manifolds. We compute the rational cohomology ring of a class of smooth locally standard torus manifolds w…