ALL 4-MANIFOLDS HAVE SPINc STRUCTURES PETER TEICHNER AND ELMAR VOGT 1. Introduction The recent developments in the theory of smooth 4-manifolds come from the so-called monopole-equations found by Seiberg and Witten [4].

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• Differential geometry
• Characteristic classes
• Connection
• Cohomology
• StiefelWhitney class
• SeibergWitten invariant
• Manifold
• Torsion tensor
• Orientability
• Differential geometry of surfaces
• Chern class
• Spin structure

THE LOCAL EQUIVALENCE PROBLEM FOR 7-DIMENSIONAL, 2-NONDEGENERATE CR MANIFOLDS WHOSE CUBIC FORM IS OF CONFORMAL UNITARY TYPE A Dissertation by CURTIS WADE PORTER

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• Differential geometry
• Smooth manifolds
• CR manifold
• Complex structure
• Heisenberg group
• Differentiable manifold
• Complex manifold
• Manifold
• G-structure on a manifold
• Almost complex manifold
• Vector bundle
• Fiber bundle

Chapter 1 Smooth Manifolds This book is about smooth manifolds. In the simplest terms, these are spaces that locally look like some Euclidean space Rn , and on which one can do calculus. The

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• General topology
• Manifolds
• Mathematical structures
• Topological manifold
• Topology
• Differentiable manifold
• Nonlinear functional analysis
• Diffeomorphism
• Locally connected space
• Topological space
• Metric space
• Paracompact space

Pinching the Fermat Metric in Stationary Spacetimes Alexander Dirmeier September 69, 2011 Email: Given a standard stationary spacetime and a fixed foliation by spacelike

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• General relativity
• Smooth manifolds
• Globally hyperbolic manifold
• Finsler manifold
• Metric tensor
• Differential geometry of surfaces
• -hyperbolic space
• Riemannian

CYCLE CLASSES DANIEL LITT 1. Introduction Voisin constructs cycle classes for arbitrary compact complex manifolds; I will simplify her presentation by restricting to the case of smooth projective algebraic varieties. Thu

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Eurocongres Avda. de la Constitución no 18-bqGranada (Spain) Phone: (+and (+FAX: (+Email:

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• Geometry
• Differential geometry
• Space
• Riemannian geometry
• Complex manifolds
• Riemannian manifolds
• Smooth manifolds
• Khler manifold
• Hermitian manifold
• Einstein manifold
• Pseudo-Riemannian manifold
• Holonomy

Quantization of 2-plectic Manifolds Christian Sämann School of Mathematical and Computer Sciences Heriot Watt University, Edinburgh

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• Symplectic geometry
• Differential topology
• Smooth manifolds
• Mathematical physics
• Supergravity
• Symplectic manifold
• M-theory
• Quantization
• D-brane
• Physics
• Theoretical physics
• String theory

SEPTEMBER OCTOBERNUMBERSTUDENT HIGHLIGHT – Hassan Najafi Alishah - “Symplectic

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• Theoretical physics
• Mathematical analysis
• Dynamical systems
• Smooth manifolds
• Oak Ridge Associated Universities
• Hamiltonian system
• Symplectic manifold
• Integrable system
• Austin
• Texas
• Hamiltonian mechanics
• Physics
• Symplectic geometry

Liouville’s theorem and Gibbs measures Jordan Bell Department of Mathematics, University of Toronto April 3, 2014 Let M be a symplectic manifold with symplectic form ω. Define ω ] : T M →

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• Differential geometry
• Hamiltonian mechanics
• Smooth manifolds
• Symplectic manifold
• Differential form
• Symplectic vector space
• Hamiltonian vector field
• Ordinal number
• Closed and exact differential forms
• Differential topology
• Symplectic geometry
• Theoretical physics

Hamiltonian flows, cotangent lifts, and momentum maps Jordan Bell Department of Mathematics, University of Toronto April 3, 2014

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• Symplectic geometry
• Hamiltonian mechanics
• Differential geometry
• Smooth manifolds
• Poisson bracket
• Symplectic manifold
• Hamiltonian vector field
• Symplectomorphism
• Lie derivative
• Differential topology
• Theoretical physics
• Mathematical analysis