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35 papers · 1 filter
Superinjective Simplicial Maps of Complexes of Curves and Injective Homomorphisms of Subgroups of Mapping Class Groups II
Elmas Irmak
Let R be a compact, connected, orientable surface of genus g with p boundary components. Let C(R) be the complex of curves on R and Mod_R^* be the extended mapping class group of R…
Asymptotic flatness of the Weil-Petersson metric on Teichmuller space
Zheng Huang
The sectional curvature of the Weil-Petersson metric on Teichmuller space is known to be negative. We show that this Weil-Petersson sectional curvature is not pinched from above by…
Connectivity of h-complexes
Patricia Hersh
This paper verifies a conjecture of Edelman and Reiner regarding the homology of the -complex of a Boolean algebra. A discrete Morse function with no low-dimensional critical ce…
Multiplicity of the trivial representation in rank-selected homology of the partition lattice
Phil Hanlon, Patricia Hersh
We study the multiplicity of the trivial representation in the symmetric group representations on the (top) homology of the rank-selected partition lattice .…
Simplicity of noncommutative Dedekind domains
K. R. Goodearl, J. T. Stafford
The following dichotomy is established: A finitely generated, complex Dedekind domain that is not commutative is simple. Weaker versions of this dichotomy are proved for Dedekind p…
Limiting distribution of last passage percolation models
Jinho Baik
We survey some results and applications of last percolation models of which the limiting distribution can be evaluated.