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Differential Geometry papers — page 23

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A note on the index bundle over the moduli space of monopoles
Donaldson has shown that the moduli space of monopoles Mk is diffeomorphic to the space k of based rational maps from the two-sphere to itself. We use this diffeomorphism to give an…
John D. S. Jones, Michael K. MurrayJul 15, 1994
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Transformation de Fourier-Mukai sur les Surfaces Hyperkählériennes
Given two compact hyperkähler surfaces X and Y and a holomorphic vector bundle Q on X× Y, which is a generalized instanton, one can define a Fourier-Mukai transform, which, under…
C. Bartocci, U. Bruzzo, D. Hernandez RuiperezJul 15, 1994
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Proper group actions and symplectic stratified spaces
Let (M,ω) be a Hamiltonian G-space with a momentum map F:M g*. It is well-known that if α is a regular value of F and G acts freely and properly on the level set…
L. Bates, E. LermanJul 7, 1994
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A ``stable'' version of the Gromov-Lawson conjecture
We discuss a conjecture of Gromov and Lawson, later modified by Rosenberg, concerning the existence of metrics of positive scalar curvature. It says that a closed spin manifold M of dimension $n…
Jonathan Rosenberg, Stephan StolzJul 5, 1994
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Teichmuller Space is Not Gromov Hyperbolic
We prove that the Teichmuller Space of Riemann Surfaces of genus g>1, equipped with the Teichmuller metric, is not a Gromov Hyperbolic space.
Howard A. Masur, Michael WolfJul 1, 1994
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n-transitivity of certain diffeomorphism groups
Some groups of real analytic diffeomorphism act n-transitively for each finite n.
Peter W. Michor, Cornelia VizmanJun 30, 1994
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The Spectral Flow of the Odd Signature operator and Higher Massey Products
We show how to compute the spectral flow of the odd signature operator *dat-dat* along an analytic path of flat connections at on a bundle over a closed odd-dimensional manifold in…
Paul Kirk, Eric KlassenJun 30, 1994
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Basic differential forms for actions of Lie groups
A section of a Riemannian G-manifold M is a closed submanifold Σ which meets each orbit orthogonally. It is shown that the algebra of G-invariant differential forms on M which are…
Peter W. MichorJun 30, 1994
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Moduli Spaces of Singular Yamabe Metrics
Complete, conformally flat metrics of constant positive scalar curvature on the complement of k points in the n-sphere, k 2, n 3, were constructed by R\. Schoen [S2]. We consider the…
Rafe Mazzeo, Daniel Pollack, Karen UhlenbeckJun 30, 1994
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On the Existence of Jenkins-Strebel Differentials Using Harmonic Maps from Surfaces to Graphs
We give a new proof of the existence (HM, Ren) of a Jenkins-Strebel differential Φ on a Riemann surface with prescribed heights of cylinders by considering the harmonic map from…
Michael WolfJun 29, 1994
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Characteristic Numbers and Generalized Path Integrals
This is an extended write-up of a talk given in April, 1993 in honor of Raoul Bott's 70th birthday. We first illustrate how some traditional topological and geometric invariants obey ``gluing…
Daniel S. FreedJun 28, 1994
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On extremals with prescribed Lagrangian densities
Consider two manifolds~Mm and Nn and a first-order Lagrangian L(u) for mappings u:M N, i.e., L is an expression involving u and its first derivatives whose value is an m-form (or…
Robert L. BryantJun 23, 1994
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