1549055384-Symplectic_Geometry_and_Topology__Eliashberg_

EXERCISES 327 12. Exhibit explicitly the subsets of CP^3 for which the stabilizer under the standard action of U(1)^3 is (a) iso ...

328 L. C. JEFFREY, HAMILTONIAN GROUP ACTIONS Exercise 2 (Lectures 3-5) l. (Equivariant cohomology of subgroups) (a) Let G be a c ...

EXERCISES 329 (c) Show that the pushforward of the Liouville measure on 82 under the moment mapμ is the characteristic function ...

330 L. C. JEFFREY, HAMILTONIAN GROUP ACTIONS (Quantization of 52 ) (a) Assume the symplectic form w of 52 has been normalized s ...

Bibliography M.F. Atiyah, Convexity and commuting Hamiltonians, Bull. London Math. Soc. 14 (1982) 1-15. M.F. Atiyah, R. Bott, T ...

332 L. C. JEFFREY, HAMILTONIAN GROUP ACTIONS (1996) 123-142. V. Guillemin, E. Lerman, S. Sternberg, Symplectic fibrations and m ...

BIBLIOGRAPHY 333 E. Witten, Two dimensional gauge theories revisited, preprint hep- th/9204083; J. Geom. Phys. 9 (1992) 303-368 ...

...

Park City Lectures on Mechanics, Dynamics, and Symmetry Jerrold E. Marsden ...

...

IAS/Park City Mathematics Series Volume 7, 1999 Park City Lectures on Mechanics, Dynamics, and Symmetry Jerrold E. Marsden Intro ...

...

Lecture 1. Reduction for Mechanical Systems with Symmetry In this first lecture, I will discuss a selection of topics from the b ...

340 J.E. MARSDEN, MECHANICS, DYNAMICS, AND SYMMETRY bundle TG. Let L : TG -> IR be a G-invariant Lagrangian. Being invariant, ...

LECTURE 1. REDUCTION THEORY 341 Theorem 1.2. (Euler-Poincare reduction-part 2.) Hamilton's principle for L on G is equivalent to ...

342 J.E. MARSDEN, MECHANICS, DYNAMICS, AND SYMMETRY energy. However, this time L is right invariant and the reduced Lagrangian i ...

LECTURE l. REDUCTION THEORY Let the Gelfand-Fuchs cocycle be defined by^2 L:(u,v) = / fo 1 u'(x)v"(x)dx, 343 where / is a consta ...

344 J.E. MARSDEN, MECHANICS, DYNAMICS, AND SYMMETRY maps the Euler-Poincare equations to the Lie-Poisson equations and vice-vers ...

LECTURE l. REDUCTION THEORY 345 developed symplectic reduction; related results, but with a different motivation and constructio ...

346 J. E. MARSDEN, MECHANICS, DYNAMICS, AND SYMMETRY where the sum is a Whitney sum of vector bundles over Q/G (fiberwise a dire ...