4 papers
An explicit description for quiver Grassmannians of the Kronecker quiver
Ulysses Alvarez, Kyungyong Lee
It is an open problem to find cell decompositions of quiver Grassmannians associated to each cluster variable. We initiate a new approach to this problem by giving an explicit desc…
A topological space associated to corank 1 tropical phased matroids
Ulysses Alvarez
A consequence of the Folkman-Lawrence topological representation theorem is that the geometric realization of the order complex of the poset of non-zero covectors of a loopless ran…
Topological posets and tropical phased matroids
Ulysses Alvarez, Ross Geoghegan
For a discrete poset McCord proved that the natural map from the order complex to the poset equipped with the Up topology is a weak ho…
The Up Topology for Mirrored Topological Posets
Ulysses Alvarez, Ross Geoghegan
For a discrete poset , McCord proved that the natural map , from the order complex to the poset with the Up topology, is a weak homotopy…