Results 1 to 10 of about 27,485 (190)

Cohomology of bundles on homological Hopf manifold

open access: yes, 2008
We discuss the properties of complex manifolds having rational homology of $S^1 \times S^{2n-1}$ including those constructed by Hopf, Kodaira and Brieskorn-van de Ven.
A. Andreotti   +27 more
core   +1 more source

Abelian simply transitive affine groups of symplectic type [PDF]

open access: yes, 2001
We construct a model space $C(\gsp(\bR^{2n}))$ for the variety of Abelian simply transitive groups of affine transformations of type ${\rm Sp}(\bR^{2n})$.
Baues, Oliver, Cortes, Vicente
core   +2 more sources

The Heisenberg group and conformal field theory

open access: yes, 2011
A mathematical construction of the conformal field theory (CFT) associated to a compact torus, also called the "nonlinear Sigma-model" or "lattice-CFT", is given.
Posthuma, Hessel
core   +2 more sources

Isospectral manifolds with different local geometries

open access: yes, 2000
We construct several new classes of isospectral manifolds with different local geometries. After reviewing a theorem by Carolyn Gordon on isospectral torus bundles and presenting certain useful specialized versions (Chapter 1) we apply these tools to ...
Schueth, Dorothee
core   +2 more sources

Elliptic Operators and Higher Signatures

open access: yes, 2004
Building on the theory of elliptic operators, we give a unified treatment of the following topics: - the problem of homotopy invariance of Novikov's higher signatures on closed manifolds; - the problem of cut-and-paste invariance of Novikov's higher ...
Leichtnam, Eric, Piazza, Paolo
core   +1 more source

E7(7) formulation of N=2 backgrounds

open access: yes, 2009
In this paper we reformulate N=2 supergravity backgrounds arising in type II string theory in terms of quantities transforming under the U-duality group E7(7). In particular we combine the Ramond--Ramond scalar degrees of freedom together with the O(6,6)
  +55 more
core   +1 more source

Existence and uniqueness theorem for convex polyhedral metrics on compact surfaces [PDF]

open access: yes, 2010
We state that any constant curvature Riemannian metric with conical singularities of constant sign curvature on a compact (orientable) surface $S$ can be realized as a convex polyhedron in a Riemannian or Lorentzian) space-form.
Fillastre, François
core  

An Analysis of the Representations of the Mapping Class Group of a Multi-Geon Three-Manifold

open access: yes, 1997
It is well known that the inequivalent unitary irreducible representations (UIR's) of the mapping class group $G$ of a 3-manifold give rise to ``theta sectors'' in theories of quantum gravity with fixed spatial topology.
Fuks-Rabinovich D. I.   +7 more
core   +2 more sources

Characterization of finite groups generated by reflections and rotations

open access: yes, 2016
We characterize finite groups G generated by orthogonal transformations in a finite-dimensional Euclidean space V whose fixed point subspace has codimension one or two in terms of the corresponding quotient space V/G with its quotient piecewise linear ...
Lange, Christian
core   +1 more source

Symplectic spinors and Hodge theory [PDF]

open access: yes, 2017
Results on symplectic spinors and their higher spin versions, concerning representation theory and cohomology properties are presented. Exterior forms with values in the symplectic spinors are decomposed into irreducible modules including finding the ...
Krýsl, Svatopluk
core   +1 more source

Home - About - Disclaimer - Privacy