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Differential Geometry papers — page 10

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Bott-type and equivariant Seiberg-Witten Floer homology I
We construct Bott-type and stable equivariant Seiberg-Witten Floer homology and cohomology for rational homology spheres, and prove their diffeomorphism invariance.
G. Wang, R. YeJan 24, 1997
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Equivariant Holomorphic Morse Inequalities III: Non-Isolated Fixed Points
We prove the equivariant holomorphic Morse inequalities for a holomorphic torus action on a holomorphic vector bundle over a compact Kahler manifold when the fixed-point set is not necessarily…
Siye Wu, Weiping ZhangJan 24, 1997
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Geometric zeta-functions on p-adic groups
Geometric zeta functions of Ihara and Hashimoto are generalized to higher rank. The p-adic version of the Patterson conjecture is proven.
Anton DeitmarJan 21, 1997
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Representatives of the Thom class of a vector bundle
After a review of several methods designed to produce equivariant cohomology classes, we apply one introduced by Berline, Getzler and Vergne, to get a family of representatives of the universal Thom…
Michel Bauer, Frank ThuillierJan 20, 1997
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Moment maps and non-compact cobordisms
We define a moment map associated to a smooth torus action on a smooth manifold, without a two-form. We define cobordisms of such structures, allowing non compact manifolds as long as the moment maps…
Yael KarshonJan 19, 1997
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On the total curvature of minimal annuli in R3 and Nitsche's conjecture
We present a proof of the generalized Nitsche's conjecture proposed by W.H.Meeks III and H. Rosenberg: For t 0, let Pt denote the horizontal plane of height t over the x1,x2 plane.…
Qing ChenJan 16, 1997
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The eta-form and a generalized Maslov index
We consider families of Dirac operators on the unit interval which depend on parameters via boundary conditions. We study the associated eta forms and Maslov cocyles. With this simple example we show…
U. Bunke, H. KochJan 13, 1997
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Singular connection and Riemann theta function
We prove the Chern-Weil formula for SU(n+1)-singular connections over the complement of an embedded oriented surface in smooth four manifolds. The expression of the representation of a number as a…
Weiping LiJan 7, 1997
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Harmonic morphisms with fibers of dimension one
I prove three classification results about harmonic morphisms whose fibers have dimension one. All are valid when the domain is at least of dimension 4. (The character of this overdetermined problem…
Robert L. BryantJan 3, 1997
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Seiberg-Witten equations on tubes
We establish the adiabatic dissapearance of Seiberg-Witten tunnelings on tubes R x N, where N is an S1 fibration over a Riemann surface.
Liviu I. NicolaescuJan 3, 1997
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A symplectic proof of Verlinde factorization
We prove a multiplicity formula for Riemann-Roch numbers of reductions of Hamiltonian actions of loop groups. This includes as a special case the factorization formula for the quantum dimension of…
Eckhard Meinrenken, Chris WoodwardDec 30, 1996
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SU(n)-Connections and Noncommutative Differential Geometry
We study the noncommutative differential geometry of the algebra of endomorphisms of any SU(n)-vector bundle. We show that ordinary connections on such SU(n)-vector bundle can be interpreted in a…
Michel Dubois-Violette, Thierry MassonDec 27, 1996
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Intersection numbers on moduli spaces and symmetries of a Verlinde formula
We investigate the geometry and topology of a standard moduli space of stable bundles on a Riemann surface, and use a generalization of the Verlinde formula to derive results on intersection pairings.
Rafael Herrera, Simon M. SalamonDec 25, 1996
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Asimptotic dimension and Novikov-Shubin invariants for open manifolds
A trace on the C*-algebra A of quasi-local operators on an open manifold is described, based on the results in RoeOpen. It allows a description `a la Novikov-Shubin NS2 of the low…
D. Guido, T. IsolaDec 23, 1996
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Knots, Links, and 4-Manifolds
In this paper we investigate the relationship between isotopy classes of knots and links in S3 and the diffeomorphism types of homeomorphic smooth 4-manifolds. As a corollary of this initial…
Ronald Fintushel, Ronald J. SternDec 18, 1996
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Harmonic morphisms from three-dimensional Euclidean and spherical space forms
P. Baird and the second author studied harmonic morphisms from a three-dimensional simply-connected space form to a surface and obtained a complete local and global classification of them. In this…
M. T. Mustafa, J. C. WoodDec 18, 1996
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Morse theory on the loop space of flat tori and symplectic Floer theory
We use closed geodesics to construct and compute Bott-type Morse homology groups for the energy functional on the loop space of flat n-dimensional tori, n 1, and Bott-type Floer cohomology…
Joa WeberDec 16, 1996
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The normal symbol on Riemannian manifolds
For an arbitrary Riemannian manifold X and Hermitian vector bundles E and F over X we define the notion of the normal symbol of a pseudodifferential operator P from E to F. The normal…
Markus J. PflaumDec 11, 1996
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Long time behavior of leafwise heat flow for Riemannian foliations
For any Riemannian foliation F on a closed manifold M with an arbitrary bundle-like metric, leafwise heat flow of differential forms is proved to preserve smoothness on M at infinite time. This…
Jesus A. Alvarez Lopez, Yuri A. KordyukovDec 10, 1996
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Almost Complex and Almost Product Einstein Manifolds from a Variational Principle
It is shown that the first order (Palatini) variational principle for a generic nonlinear metric-affine Lagrangian depending on the (symmetrized) Ricci square invariant leads to an almost-product…
A. Borowiec, M. Ferraris, M. Francaviglia et al.Dec 5, 1996
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Free motion on the Poisson SU(n) group
SL(N,C) is the phase space of the Poisson SU(N). We calculate explicitly the symplectic structure of SL(N,C), define an analogue of the Hamiltonian of the free motion on SU(N) and solve the…
S. ZakrzewskiDec 4, 1996
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Twisted Legendre transformation
The general framework of Legendre transformation is extended to the case of symplectic groupoids, using an appropriate generalization of the notion of generating function (of a Lagrangian…
S. ZakrzewskiDec 4, 1996
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Free motion on the Poisson plane and sphere
Poisson plane and sphere --- homogeneous spaces of Poisson groups E(2) and SU(2) (resp.) --- have phase spaces (corresponding symplectic groupoids), in which a free Hamiltonian is naturally defined.…
S. ZakrzewskiDec 4, 1996
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Classical mechanical systems based on Poisson symmetry
The existence of the theory of `twisted cotangent bundles' (symplectic groupoids) allows to study classical mechanical systems which are generalized in the sense that their configurations form a…
S. ZakrzewskiDec 4, 1996
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Circle-valued Morse theory, Reidemeister torsion, and Seiberg-Witten invariants of 3-manifolds
Let X be a compact oriented Riemannian manifold and let ϕ:X S1 be a circle-valued Morse function. Under some mild assumptions on ϕ, we prove a formula relating: (a) the number of closed…
Michael Hutchings, Yi-Jen LeeDec 3, 1996
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