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Visual limits of maximal flats in symmetric spaces and Euclidean buildings
visual limit geometric limit CAT(0) geometry geodesic boundary convex subset maximal flat symmetric space of non-compact type Euclidean building topological spherical building
2012/6/25
Let X be a symmetric space of non-compact type or a locally finite, strongly transitive Euclidean building, and let B denote the geodesic boundary of X. We reduce the study of visual limits of maximal...
Symmetric Squaring in Homology and Bordism
algebraic topology homology theory bordism Cech homology
2012/6/19
Looking at the cartesian product X \times X of a topological space X with itself, a natural map to be considered on that object is the involution that interchanges the coordinates, i.e. that maps (x, ...
On the Space of Symmetric Operators with Multiple Ground States
Symmetric Operators Multiple Ground States Algebraic Topology
2011/9/9
Abstract: We study homological structure of the filtrations of the space of self-adjoint operators by the multiplicity of the ground state. We consider only operators acting in a finite dimensional co...
The equivariant cohomology of isotropy actions on symmetric spaces
equivariant cohomology of isotropy actions symmetric spaces
2010/12/9
We show that for every symmetric space G=K of compact type with K connected, the K-action on G=K by left translations is equivariantly formal.