1549055384-Symplectic_Geometry_and_Topology__Eliashberg_

LECTURE 5 5.1. Fary functors: Comments and examples Our first example of a Fary functor is the ordinary homology F = Z. We can s ...

288 M. GRINBERG AND R. MACPHERSON, EULER CHARACTERISTICS (a) Think of X as the complex line C. Take W 1 = X, and define n 1 : W1 ...

LECTURE 5. 289 5.3. Euler characteristics Let F be a Fary functor on (X, S). Given a standard pair (Y, Z), let hi(Y, Z; F) be th ...

290 M. GRINBERG AND R. MACPHERSON, EULER CHARACTERISTICS 5.5. Morse local systems While the construction of the question mark in ...

Intersection homology; Nearby cycles; Vanishing cycles; LECTURE 5. Solutions of regular holonomic D-modules; Z on complete inter ...

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(BDK] (GMV] (GM] (KS] (MP] (Mal] (Ma2] (Th] Bibliography J .-L. Brylinski, A. Dubson, M. Kashiwara, Formule de l'indice pour les ...

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Hamiltonian Group Actions and Symplectic Reduction Lisa C. Jeffrey ...

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!AS/Park City Mathematics Series Volume 7, 1999 Hamiltonian Group Actions and Symplectic Reduction Lisa C. Jeffrey LECTURE 1 Int ...

298 L. C. JEFFREY, HAMILTONIAN GROUP ACTIONS for any YE TmM: in other words the function μx : M---+ IR defined by μx(m) d~f μ(m) ...

LECTURE 1. INTRODUCTION TO HAMILTONIAN GROUP ACTIONS 299 (c) If two symplectic manifolds M 1 and M2 are acted on in a Hamiltonia ...

300 L. C. JEFFREY, HAMILTONIAN GROUP ACTIONS t E t* of the moment map μ; the space Mt is a symplectic orbifold for any regular v ...

LECTURE 1. INTRODUCTION TO HAMILTONIAN GROUP ACTIONS 301 μ-^1 (0) on which the symplectic form is given as follows. Let P ~ μ-^1 ...

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2.1. Convexity theorems Lecture 2. The Geometry of the Moment Map Theorem 2.1. (Atiyah [1]; Guillemin-Sternberg [19]) Suppose M ...

304 L. C. JEFFREY, HAMILTONIAN GROUP ACTIONS map are the images μ r (Wj) of the fixed point sets Wj of one parameter subgroups S ...

LECTURE 2. THE GEOMETRY OF THE MOMENT MAP 305 We see that the moment polytope encodes some information about the manifold M; mor ...

306 L. C. JEFFREY, HAMILTONIAN GROUP ACTIONS map for the action of S^1 on M is denoted μ 1 , the moment map for the diagonal act ...