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Differential Geometry papers — page 19

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Volumes of Discrete Groups and Topological Complexity of Homology Spheres
We address two fundamental and well-known problems of Gromov and Lyndon: Problem A (Gromov, see [5]). Consider a category Mn of closed manifolds of dimension n with nonzero-degree ways as…
Alexander ReznikovJun 25, 1995
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Multiplicity-free Hamiltonian actions need not be Kähler
We show that Tolman's example (of a six dimensional Hamiltonian T2-space with isolated fixed points and no compatible Kähler structure) can be constructed from the flag variety U(3)/U(1)3…
Chris WoodwardJun 22, 1995
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The Centralizer of Invariant Functions and Division Properties of the Moment Map
Let Phi : M --> g* be a proper moment map associated to an action of a compact connected Lie group, G, on a connected symplectic manifold, (M,ω). A collective function is a pullback via Φof a smooth…
Eugene Lerman, Yael KarshonJun 15, 1995
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Rokhlin Conjecture and Topology of Quotients of Complex Surfaces by Complex Conjugation
Quotients Y=X/conj of complex surfaces by anti-holomorphic involutions conj\: X X tend to be completely decomposable when they are simply connected, i.e., split into connected sums, $n…
Sergey FinashinJun 14, 1995
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Extended moduli spaces and the Kan construction.II.Lattice gauge theory
Let Y be a CW-complex with a single 0-cell, K its Kan group, a model for the loop space of Y, and let G be a compact, connected Lie group. We give an explicit finite dimensional construction…
Johannes HuebschmannJun 14, 1995
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Adiabatic Limits and Spectral Geometry of Foliations
We study spectral asymptotics for the Laplace operator on differential forms on a Riemannian foliated manifold equipped with a bundle-like metric in the case when the metric is blown up in directions…
Yuri A. KordyukovJun 13, 1995
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Integrable Gradient Flows and Morse Theory
Examples of Morse functions with integrable gradient flows on some classical Riemannian manifolds are considered. In particular, we show that a generic height function on the symmetric embeddings of…
I. A. Dynnikov, A. P. VeselovJun 9, 1995
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The twistor transform of a Verlinde formula
The topology of the smooth moduli space of stable rank 2 bundles over a Riemann surface of genus 3 is related to that of the real Grassmannian Gr4(R8).
S. M. SalamonJun 8, 1995
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Polarized 4-Manifolds, Extremal Kähler Metrics, and S-W Theory
Using Seiberg-Witten theory, it is shown that any Kaehler metric of constant negative scalar curvature on a compact 4-manifold M minimizes the L2-norm of scalar curvature among Riemannian metrics…
Claude LeBrunJun 5, 1995
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Fuchsian groups of the second kind and representations carried by the limit set
We compute the cohomology of a Fuchsian group of the second kind with coefficients in the hyperfunction vectors of the principal series representations of SL(2,R) supported on the limit set.
U. Bunke, M. OlbrichJun 1, 1995
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The Radius Rigidity Theorem for Manifolds of Positive Curvature
Recall that the radius of a compact metric space (X, dist) is given by rad\ X = x∈ X y∈ X dist(x,y). In this paper we generalize Berger's 14-pinched rigidity…
Frederick WilhelmMay 26, 1995
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Constant mean curvature surfaces via integrable dynamical system
It is shown that the equation which describes constant mean curvature surface via the generalized Weierstrass-Enneper inducing has Hamiltonian form. Its simplest finite-dimensional reduction has two…
B. G. Konopelchenko, I. A. TaimanovMay 26, 1995
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Extended moduli spaces and the Kan construction
Let Y be a CW-complex with a single 0-cell, let K be its Kan group, a free simplicial group whose realization is a model for the space ΩY of based loops on Y, and let G be a Lie group, not…
Johannes HuebschmannMay 23, 1995
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Geometry of Lagrangian First-order Classical Field Theories
We construct a lagrangian geometric formulation for first-order field theories using the canonical structures of first-order jet bundles, which are taken as the phase spaces of the systems in…
Arturo Echeverría-Enríquez, Miguel C. Muñoz-Lecanda, Narciso Román-RoyMay 17, 1995
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Determinant Line Bundles Revisited
This is a note for the conference proceedings Topological and Geometrical Problems related to Quantum Field Theory. We summarize our joint work with Dai about eta invariants on manifolds with…
Daniel S. FreedMay 15, 1995
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On Ribbon R4's
We consider ribbon R4's, that is, smooth open 4-manifolds, homeomorphic to R4 and associated to h-cobordisms between closed 4-manifolds. We show that any generalized ribbon R4…
Zarko BizacaMay 12, 1995
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A Decomposition of Smooth Simply-connected h-Cobordant 4-Manifolds
We prove that any two smooth h-cobordant simply-connected 4-manifolds can be obtained by taking two manifolds with boundary, one of which is contractible, and gluing them along the boundary via two…
R. MatveyevMay 10, 1995
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Variational Aspects of the Seiberg-Witten Functional
The Seiberg-Witten equations that have recently found important applications for four-dimensional geometry are the Euler-Lagrange equations for a functional involving a connection A on a line…
Juergen Jost, Xiaowei Peng, Guofang WangApr 28, 1995
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Symplectic Surgery and the Spin-C Dirac operator
Let G be a compact connected Lie group, and M a compact Hamiltonian G-space, with moment map J. For each G-equivariant Hermitian vector bundle E over M, one has an associated twisted…
Eckhard MeinrenkenApr 26, 1995
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Symplectic Approach of Wess-Zumino-Witten Model and Gauge Field Theories
A systematic description of the Wess-Zumino-Witten model is presented. The symplectic method plays the major role in this paper and also gives the relationship between the WZW model and the…
Bai-Ling WangApr 4, 1995
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Symetric Monopoles
We discuss SU(2) Bogomolny monopoles of arbitrary charge k invariant under various symmetry groups. The analysis is largely in terms of the spectral curves, the rational maps, and the Nahm…
N. J. Hitchin, N. S. Manton, M. K. MurrayMar 31, 1995
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Projective structures on moduli spaces of compact complex hypersurfaces
It is shown that moduli spaces of complete families of compact complex hypersurfaces in complex manifolds often come equipped canonically with projective structures satisfying some natural…
Sergey Merkulov, Henrik PedersenMar 30, 1995
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Eisenstein series and Scattering matrices
We provide a simple way to obtain the meromorphic extension of Eisenstein series and Scattering matrices under conditions which generalize the case of discrete groups acting convex cocompactly on…
Ulrich Bunke, Martin OlbrichMar 28, 1995
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Fundamental Group of Self-Dual Four-Manifolds with Positive Scalar Curvature
Main Theorem (3.3): Let M be a compact four-dimensional manifold either with curvature, positive on complex isotropic two-planes, or self-dual of positive scalar curvature. If π1 (M) admits a…
Alexander G. ReznikovMar 28, 1995
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Geometry of Kodaira moduli spaces
A general theorem on the existence of natural torsion-free affine connections on a complete family of compact complex submanifolds in a complex manifold is proved. Applications to twistor theory are…
Sergey A. MerkulovMar 28, 1995
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