Results 11 to 20 of about 160,992 (97)

Toric hyperkahler manifolds with quaternionic Kahler bases and supergravity solutions

, 2004
In the present work some examples of toric hyperkahler metrics in eight dimensions are constructed. First it is described how the Calderbank-Pedersen metrics arise as a consequence of the Joyce description of selfdual structures in four dimensions, the ...
Alvarez-Gaume, Andrei G. Zorin, Andrianopoli, Anguelova, Anguelova, Anguelova, Antoniadis, Ashtekar, Atiyah, Atiyah, Behrndt, Behrndt, Behrndt, Berger, Bielawski, Bryant, Calderbank, Fre, Galicki, Gauntlett, Gauntlett, Gibbons, Gibbons, Gibbons, Hitchin, Ishihara, Jarv, Jones, Joyce, Kraan, Kronheimer, Osvaldo P. Santillan, Park, Pedersen, Portugues, Przanowski, Santillan, Swann, Ward, Wit, Wit, Wit, Witten, Wolf   +43 more
core   +1 more source

Lipshitz matchbox manifolds [PDF]

, 2014
A matchbox manifold is a connected, compact foliated space with totally disconnected transversals; or in other notation, a generalized lamination. It is said to be Lipschitz if there exists a metric on its transversals for which the holonomy maps are ...
Hurder, Steven
core  

Coarse homology theories

, 2000
In this paper we develop an axiomatic approach to coarse homology theories. We prove a uniqueness result concerning coarse homology theories on the category of `coarse CW-complexes'.
Baum, Christensen, Gromov, Higson, Paul D Mitchener, Pedersen, Roe, Roe, Yu   +8 more
core   +2 more sources

Dualizing the coarse assembly map

, 2004
We formulate and study a new coarse (co-)assembly map. It involves a modification of the Higson corona construction and produces a map dual in an appropriate sense to the standard coarse assembly map. The new assembly map is shown to be an isomorphism in
Emerson, Heath, Meyer, Ralf
core   +1 more source

Isospectral Alexandrov Spaces

, 2013
We construct the first non-trivial examples of compact non-isometric Alexandrov spaces which are isospectral with respect to the Laplacian and not isometric to Riemannian orbifolds. This construction generalizes independent earlier results by the authors
Engel, Alexander, Weilandt, Martin
core   +1 more source

Higher Teichm\"uller Spaces: from SL(2,R) to other Lie groups [PDF]

, 2011
The first part of this paper surveys several characterizations of Teichm\"uller space as a subset of the space of representation of the fundamental group of a surface into PSL(2,R).
Burger, Marc, Iozzi, Alessandra, Wienhard, Anna   +2 more
core  

Hyperkahler Cones and Orthogonal Wolf Spaces

, 2002
We construct the hyperkahler cones corresponding to the Quaternion-Kahler orthogonal Wolf spaces SO(n+4)/(SO(n)xSO(4)) and their non-compact versions, which appear in hypermultiplet couplings to N=2 supergravity.
Anguelova, Lilia, Rocek, Martin, Vandoren, Stefan   +2 more
core   +2 more sources

Large scale detection of half-flats in CAT(0)-spaces

, 2009
For a k-flat F inside a locally compact CAT(0)-space X, we identify various conditions that ensure that F bounds a (k+1)-dimensional half flat in X. Our conditions are formulated in terms of the ultralimit of X. As applications, we obtain (1) constraints
Francaviglia, S., Lafont, J. -F.
core   +3 more sources

Cubic Differentials in the Differential Geometry of Surfaces [PDF]

, 2017
We discuss the local differential geometry of convex affine spheres in $\re^3$ and of minimal Lagrangian surfaces in Hermitian symmetric spaces. In each case, there is a natural metric and cubic differential holomorphic with respect to the induced ...
Loftin, John, McIntosh, Ian
core  

Floer trajectories and stabilizing divisors

, 2017
We incorporate pearly Floer trajectories into the transversality scheme for pseudoholomorphic maps introduced by Cieliebak-Mohnke. By choosing generic domain-dependent almost complex structures we obtain zero and one-dimensional moduli spaces with the ...
Charest, François, Woodward, Chris
core   +1 more source