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Differential Geometry papers — page 15

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Quasi-rigidity of hyperbolic 3-manifolds and scattering theory
Take two isomorphic convex co-compact co-infinite volume Kleinian groups, whose regular sets are diffeomorphic. The quotient of hyperbolic 3-space by these groups gives two hyperbolic 3-manifolds…
David Borthwick, Alan McRae, Edward TaylorMar 19, 1996
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Supermanifold Forms and Integration. A Dual Theory
We investigate forms on supermanifolds defined as Lagrangians of ``copaths'' (that is, systems of equations, which may or may not specify submanifolds). For this, we consider direct products…
Theodore VoronovMar 19, 1996
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Connectedness of spaces of symplectic embeddings
We prove that the space of symplectic packings of CP2 by k equal balls is connected for 3≤ k≤ 6. The proof is based on Gromov-Witten invariants and on the inflation technique due…
Paul BiranMar 19, 1996
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On symmetries of constant mean curvature surfaces
We start the investigation of immersions Ψ of a simply connected domain D into three dimensional Euclidean space R3, which have constant mean curvature (CMC-immersions), and allow for a group…
Josef Dorfmeister, Guido HaakMar 14, 1996
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The Incidence Coefficients in the Novikov Complex are generically rational functions
For a Morse map f:M S1 Novikov [11] has introduced an analog of Morse complex, defined over the ring [[t]][t-1] of integer Laurent power series. Novikov conjectured, that generically…
A. PajitnovMar 14, 1996
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Harmonic morphisms, conformal foliations and shear-free ray congruences
Equivalences between conformal foliations on Euclidean 3-space, Hermitian structures on Euclidean 4-space, shear-free ray congruences on Minkowski 4-space, and holomorphic foliations on complex…
P. Baird, J. C. WoodMar 13, 1996
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Decomposability of quotients by complex conjugation for rational and Enriques surfaces
The quotients Y=X/conj by the complex conjugation conj\: X X for complex rational and Enriques surfaces X defined over are shown to be diffeomorphic to connected sums of 2,…
S. FinashinMar 8, 1996
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Group cohomology and the singularities of the Selberg zeta function associated to a Kleinian group
We prove Patterson's conjecture about the singularities of the Selberg zeta function associated to a convex-cocompact, torsion free group acting on a hyperbolic space.
Ulrich Bunke, Martin OlbrichMar 7, 1996
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Holomorphic torsion for Hermitian locally symmetric spaces
The holomorphic torsion of a compact locally symmetric manifold is expressed as a special value of a zeta function built out of geometric data (closed geodesics) of the manifold.
Anton DeitmarMar 5, 1996
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Equivariant torsion of locally symmetric spaces
The equivariant holomorphic torsion of a compact locally symmetric manifold and an automorphism is expressed as a special value of a zeta function built out of geometric data (closed geodesics) of…
Anton DeitmarMar 5, 1996
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Polygon spaces and Grassmannians
We study the moduli spaces of polygons in R2 and R3, identifying them with subquotients of 2-Grassmannians using a symplectic version of the Gel'fand-MacPherson correspondence. We show that the…
Jean-Claude Hausmann, Allen KnutsonFeb 29, 1996
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On the 8-dimensional hyperKaehler manifolds
6 pages, LaTeX, to appear in Proc. of International Conf. "Geometrization of Physics - II", Kazan, Russia, Oct 28 - Nov 2, 1995. Withdrawn
S. V. ZuevFeb 28, 1996
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Polyhedral representations of discrete differential manifolds
Any discrete differential manifold M (finite set endowed with an algebraic differential calculus) can be represented by appropriate polyhedron P(M). This representation demonstrates the…
Roman R. ZapatrinFeb 27, 1996
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Lagrangian embedding, Maslov indexes and Integer graded symplectic Floer cohomology
We define an integer graded symplectic Floer cohomology and a spectral sequence which are new invariants for monotone Lagrangian sub-manifolds and exact isotopies. Such an integer graded Floer…
Weiping LiFeb 19, 1996
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Equivariant Holomorphic Morse Inequalities II: Torus and Non-Abelian Group Actions
We extend the equivariant holomorphic Morse inequalities of circle actions to cases with torus and non-Abelian group actions on holomorphic vector bundles over Kahler manifolds and show the necessity…
Siye WuFeb 15, 1996
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Equivariant Holomorphic Morse Inequalities I: A Heat Kernel Proof
Assume that the circle group acts holomorphically on a compact Kähler manifold with isolated fixed points and that the action can be lifted holomorphically to a holomorphic Hermitian vector bundle.…
Varghese Mathai, Siye WuFeb 15, 1996
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Three-manifolds class field theory (Homology of coverings for a non-virtually Haken manifold)
This is a first in a series of papers, devoted to the relation betwwen three-manifolds and number fields. The present paper studies first homology of finite coverings of a three-manifold with primary…
Alexander ReznikovFeb 14, 1996
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Conformal Invariants of Manifolds of Non-positive Scalar Curvature
Conformal invariants of manifolds of non-positive scalar curvature are studied in association with growth in volume and fundamental group.
M. C. LeungFeb 5, 1996
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Space of linear differential operators on the real line as a module over the Lie algebra of vector fields
Let Dk be the space of k-th order linear differential operators on R: A=ak(x)dkdxk+·s+a0(x). We study a natural 1-parameter family of ( R)- (and…
H. Gargoubi, V. OvsienkoFeb 4, 1996
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Seiberg-Witten-Floer Theory for Homology 3-Spheres
We give the definition of the Seiberg-Witten-Floer homology group for a homology 3-sphere. Its Euler characteristic number is a Casson-type invariant. For a four-manifold with boundary a homology…
Bai-Ling WangFeb 2, 1996
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Associativity properties of the symplectic sum
In this note we apply a 4-fold sum operation to develop an associativity rule for the pairwise symplectic sum. This allows us to show that certain diffeomorphic symplectic 4-manifolds made out of…
Dusa McDuff, Margaret SymingtonFeb 1, 1996
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On Poisson actions of compact Lie groups on symplectic manifolds
Let G¶ be a compact simple Poisson-Lie group equipped with a Poisson structure ¶ and (M, ø) be a symplectic manifold. Assume that M carries a Poisson action of G¶ and there is an…
Anton Yu. AlekseevFeb 1, 1996
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A compact symmetric symplectic non-Kaehler manifold
In this paper I construct, using off the shelf components, a compact symplectic manifold with a non-trivial Hamiltonian circle action that admits no Kaehler structure. The non-triviality of the…
Eugene LermanJan 29, 1996
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Seiberg-Witten Floer Homology and Heegaard Splittings
This paper presents the construction of the Seiberg-Witten-Floer homology of three-manifolds with non-trivial rational homology, and some properties of the invariant of three-manifolds obtained by…
Matilde MarcolliJan 26, 1996
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Indefinite Kaehler-Einstein metrics on Compact Complex Surfaces
Indefinite Kaehler solutions of the Einstein equations are studied, and it is almost completely determined which compact complex surfaces admit such metrics.
Jimmy PeteanJan 23, 1996
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