Results 11 to 20 of about 160,268 (96)

Special geometry of Euclidean supersymmetry II: hypermultiplets and the c-map

, 2005
We construct two new versions of the c-map which allow us to obtain the target manifolds of hypermultiplets in Euclidean theories with rigid N =2 supersymmetry.
, A. Strominger, A. Van Proeyen, A.V. Belitsky, B. de Wit, B. de Wit, B. Feix, C.M. Hull, Christoph Mayer, D. Kaledin, Frank Saueressig, K. Behrndt, K.S. Stelle, Thomas Mohaupt, V. Cort'es, V. Cortés, Vicente Cortés   +16 more
core   +3 more sources

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

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

Kac-Moody symmetric spaces of Euclidean type [PDF]

, 2013
We investigate in detail the class of Euclidean affine Kac-Moody symmetric spaces and their orthogonal symmetric affine Kac-Moody algebras (OSAKAs). These spaces are the only class of Kac-Moody symmetric spaces, that is not directly derived from affine ...
Freyn, Walter
core  

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

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

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

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  

Completeness in supergravity constructions

, 2011
We prove that the supergravity r- and c-maps preserve completeness. As a consequence, any component H of a hypersurface {h=1} defined by a homogeneous cubic polynomial such that -d^2 h is a complete Riemannian metric on H defines a complete projective ...
A. Chou, B. Wit de, B. Wit de, B. Wit de, B. Wit de, B. Wit de, C. Mayer, D. Freed, D. Gaiotto, D. Robles-Llana, D. Robles-Llana, D.R. Morrison, D.V. Alekseevskiĭ, D.V. Alekseevsky, D.V. Alekseevsky, D.V. Alekseevsky, E. Cremmer, E. Witten, I. Antoniadis, I. Antoniadis, J. De Jaehger, J. Louis, M. Rocek, S. Alexandrov, S. Alexandrov, S. Cecotti, S. Ferrara, S. Kachru, S. Kachru, T. Mohaupt, V. Cortés, V. Cortés, V. Cortés, V. Cortés, V. Cortés, X. Han   +35 more
core   +1 more source

The L^2 geometry of spaces of harmonic maps S^2 -> S^2 and RP^2 -> RP^2

, 2001
Harmonic maps from S^2 to S^2 are all weakly conformal, and so are represented by rational maps. This paper presents a study of the L^2 metric gamma on M_n, the space of degree n harmonic maps S^2 -> S^2, or equivalently, the space of rational maps of ...
Belavin, De Witt, Eells, Furuta, Gibbons, Guest, J.M. Speight, Leese, Lemaire, Manton, Moss, Piette, Ruback, Sadun, Samols, Segal, Speight, Speight, Stuart, Stuart, Trebin, Ward, Woo   +22 more
core   +1 more source