7 citations · 13 across the 6 of their papers we have counts for
8 papers
The Jones Polynomial of a Connect Sum is Multiplicative: A New Approach Via Trip Matrices
Molly A. Moran, Emerson Worrell
We utilize the trip matrix method of calculating the Jones Polynomial to give an alternative proof that the Jones Polynomial is multiplicative under connect sums.
Coarse -Boundaries for Groups
Craig R. Guilbault, Molly A. Moran
We generalize Bestvina's notion of a -boundary for a group to that of a "coarse -boundary." We show that established theorems about -boundari…
Compressible Spaces and -Structures
Craig Guilbault, Molly Moran, Kevin Schreve
Bestvina introduced a -structure for a group to generalize the boundary of a CAT(0) or hyperbolic group. A refinement of this notion, introduced by Farrell and Laf…
Boundaries of Baumslag-Solitar Groups
Craig R. Guilbault, Molly A. Moran, Carrie J. Tirel
A -structure on a group was introduced by Bestvina in order to extend the notion of a group boundary beyond the realm of CAT(0) and hyperbolic groups. A refinement…
Proper homotopy types and Z-boundaries of spaces admitting geometric group actions
Craig R. Guilbault, Molly A. Moran
We extend several techniques and theorems from geometric group theory so that they apply to geometric actions on arbitrary proper metric ARs (absolute retracts). A second way that…
Metrics on Visual Boundaries of CAT(0) Spaces
Molly A. Moran
A famous open problem asks whether the asymptotic dimension of a CAT(0) group is necessarily finite. For hyperbolic groups, it is known that asymptotic dimension of the group is bo…
A Comparison of Large Scale Dimension of a Metric Space to the Dimension of its Boundary
Craig R. Guilbault, Molly A. Moran
Buyalo and Lebedeva have shown that the asymptotic dimension of a hyperbolic group is equal to the dimension of the group boundary plus one. Among the work presented here is a part…
Finite-Dimensionality of Z-Boundaries
Molly A. Moran
In this paper, we refine the notion of Z-boundaries of groups introduced by Bestvina and further developed by Dranishnikov. We then show that the standard assumption of finite-dime…