The aim of the present paper is to clarify the relationship between immersions of surfaces and solutions of the inhomogeneous Dirac equation. The main idea leading to the description of a surface M2…
Differential Geometry papers
- TFThomas Friedrich
In this paper, we establish a general relationship between the nonvanishing of GW invariants with the existence of the closed orbits of a Hamiltonian system. As an application, we completely solved…
GLGang Liu, Gang TianLet G be a complex Lie group, GR a real form of G and X a GR-stable domain of holomorphy in a complex G-manifold. If there is a GR-invariant strictly plurisubharmonic function on X which has…
PHPeter HeinznerThere is a well-known example of integrable conservative system on S2, the case of Kovalevskaya in the dynamics of a rigid body, possessing an integral of fourth degree in momenta. Goryachev…
ESElena N. SelivanovaWe show that an invariant surface allows to construct the Jacobi vector field along a geodesic and construct the formula for the normal component of the Jacobi field. If a geodesic is the transversal…
VMV. S. Matveev, P. J. TopalovWe measure, in two distinct ways, the extent to which the boundary region of moduli space contributes to the ``simple type'' condition of Donaldson theory. Using a geometric representative of…
DGDavid Groisser, Lorenzo SadunThis is an expository article, explaining recent work by D. Groisser and myself [GS] on the extent to which the boundary region of moduli space contributes to the ``simple type'' condition of…
LSLorenzo SadunLet M be a simply connected Riemannian symmetric space, with at most one flat direction. We show that every Riemannian (or unitary) vector bundle with parallel curvature over M is an associated…
LGLuis Guijarro, Lorenzo Sadun, Gerard WalschapWe complete the construction of the double Lie algebroid of a double Lie groupoid begun in the first paper of this title. We show that the Lie algebroid structure of an LA--groupoid may be prolonged…
KMKirill C. H. MackenzieWe prove that under certain mild assumptions a Lie bialgebroid integrates to a Poisson groupoid. This includes, in particular, a new proof of the existence of local symplectic groupoids for any…
KMKirill C. H. Mackenzie, Ping XuGlobal isothermic immersions are defined and studied with the aid of a connection between quadratic differentials and immersions. The applications are two problems stemming from the fundamental…
GKGeorge I. KamberovWe consider a connected compact Lie group K acting on a symplectic manifold M such that a moment map m exists. A pull-back function via m Poisson commutes with all K-invariants. Guillemin-Sternberg…
FKFriedrich KnopConsider a lattice in a group G = SL2(), SO(1,n), SU(1,n), SL2(p). We discuss actions of by affine isometric transformations of Hilbert spaces. We show that for…
YNYurii A. NeretinLet G be a complex reductive group and K a maximal compact subgroup. If X is a smooth projective G-variety, with a fixed (not necessarily integral) K-invariant Kaehler form, then the K-action is…
PHPeter Heinzner, Luca MiglioriniIn this paper a functional definition of geodesics is introduced which allows to generalize the notion of a geodesic from smooth to topological manifolds. It is shown that in the smooth case the new…
LKL. KlapkaAn affine manifold is a manifold with torsion-free flat affine connection. A geometric topologist's definition of an affine manifold is a manifold with an atlas of charts to the affine space with…
SCSuhyoung ChoiPU(2) monopoles. II: Top-level Seiberg-Witten moduli spaces and Witten's conjecture in low degrees
dg-gaIn this article we complete the proof---for a broad class of four-manifolds---of Witten's conjecture that the Donaldson and Seiberg-Witten series coincide, at least through terms of degree less than…
PFPaul M. N. Feehan, Thomas G. LenessUsing the adjoint action of the infinitesimal translations (with respect to some (in)dependant variables) on specific finite-dimensional subspaces of the space of generalized symmetries of some…
ASArthur G. SergheyevIn this paper, we examine the homotopy classes of positive loops in Sp(2) and Sp(4). We show that two positive loops are homotopic if and only if they are homotopic through positive loops.
JSJennifer SlimowitzWe deal with seven dimensional compact Riemannian manifolds of positive curvature which admit a cohomogeneity one action by a compact Lie group G. We prove that the manifold is diffeomorphic to a…
FPFabio Podesta, Luigi VerdianiWe consider a closed odd-dimensional oriented manifold M together with an acyclic flat hermitean vector bundle . We form the trivial fibre bundle with fibre M over the manifold of all…
UBU. BunkeWe characterize the harmonic forms on a flag manifold K/T defined by Kostant in 1963 in terms of a Poisson structure. Namely, they are ``Poisson harmonic" with respect to the so-called Bruhat…
SESam Evens, Jiang-Hua LuIsometry groups and geodesic foliations of Lorentz manifolds. Part II: Geometry of analytic Lorentz manifolds with large isometry groups
dg-gaThis is Part II of a series on noncompact isometry groups of Lorentz manifolds. We have introduced in Part I, a compactification of these isometry groups, and called ``bi-polarized'' those Lorentz…
AZAbdelghani ZeghibFor a closed manifold equipped with a Riemannian metric, a triangulation, a representation of its fundamental group on an Hilbert module of finite type (over of finite von Neumann algebra), and a…
DBD. Burghelea, L. Friedlander, T. KappelerWe translate a classification scheme for periodic CMC surfaces developed by J. Dorfmeister and the author to discrete CMC surfaces in the sense of A. Bobenko and U. Pinkall. The scheme uses the…
GHGuido Haak