Journal: Geometric and Functional Analysis

Abbreviation

Geom. Funct. Anal.

Publisher

Birkhäuser

Journal Volumes

ISSN

1016-443X
1420-8970

Description

Filters

2002 - 200962010 - 20185
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Publications 1 - 10 of 11
  • Lagrangian cobordism and Fukaya categories
    Item type: Journal Article
    Biran, Paul; Cornea, Octav (2014)
    Geometric and Functional Analysis
    Given a symplectic manifold M we consider a category with objects finite ordered families of Lagrangian submanifolds of M (subject to certain additional constraints) and with morphisms Lagrangian cobordisms relating them. We construct a functor that maps this category to a variant of the derived Fukaya category of M in a way that takes into account the triangulated structure of the latter.
  • A General Fredholm Theory II
    Item type: Journal Article
    Hofer, Helmut; Wysocki, Krzysztof; Zehnder, Eduard (2009)
    Geometric and Functional Analysis
  • Floer homology and the heat flow
    Item type: Journal Article
    Salamon, Dietmar A.; Weber, Joa (2006)
    Geometric and Functional Analysis
    We study the heat flow in the loop space of a closed Riemannian manifold M as an adiabatic limit of the Floer equations in the cotangent bundle. Our main application is a proof that the Floer homology of the cotangent bundle, for the Hamiltonian function kinetic plus potential energy, is naturally isomorphic to the homology of the loop space.
  • Topological simplicity, commensurator super-rigidity and nonlinearities of Kac-Moody groups (appendix by P. Bonvin)
    Item type: Journal Article
    Rémy, Bertrand; Bonvin, Patrick (2004)
    Geometric and Functional Analysis
  • Weak Closure of Singular Abelian Lp Bundles in 3 Dimensions
    Item type: Journal Article
    Petrache, Mircea; Rivière, Tristan (2011)
    Geometric and Functional Analysis
  • Weak density of smooth maps for the Dirichlet energy between manifolds
    Item type: Journal Article
    Pakzad, M.R.; Rivière, Tristan (2003)
    Geometric and Functional Analysis
  • Diophantine approximation on matrices and Lie groups
    Item type: Journal Article
    Aka, Menny; Breuillard, Emmanuel; Rosenzweig, Lior; et al. (2018)
    Geometric and Functional Analysis
    We study the general problem of extremality for metric diophantine approximation on submanifolds of matrices. We formulate a criterion for extremality in terms of a certain family of algebraic obstructions and show that it is sharp. In general the almost sure diophantine exponent of a submanifold is shown to depend only on its Zariski closure, and when the latter is defined over Q, we prove that the exponent is rational and give a method to effectively compute it. This method is applied to a number of cases of interest. In particular we prove that the diophantine exponent of rational nilpotent Lie groups exists and is a rational number, which we determine explicitly in terms of representation theoretic data.
  • Diophantine Approximations on Fractals
    Item type: Journal Article
    Einsiedler, Manfred; Fishman, Lior; Shapira, Uri (2011)
    Geometric and Functional Analysis
  • Counting Hyperbolic Manifolds
    Item type: Journal Article
    Burger, M.; Gelander, T.; Lubotzky, A.; et al. (2002)
    Geometric and Functional Analysis
  • Mass Transportation on Sub-Riemannian Manifolds
    Item type: Journal Article
    Figalli, Alessio; Rifford, Ludovic (2010)
    Geometric and Functional Analysis
Publications 1 - 10 of 11