000			01699nam a22002057a 4500
003			OSt
005			20240829145415.0
008			190323b ||||| |||| 00| 0 eng d
020			_a9780821816790
040			_cEducational Supplies _aICTS-TIFR
050			_aQA1
100			_aWeinstein, Alan
245			_aLectures on symplectic manifolds
260			_aUSA: _bAMS, _c[c1977]
300			_a48 p
490			_aRegional Conference Series in Mathematics _v29
505			_aIntroduction Lecture 1 - Symplectic manifolds and lagrangian submanifolds, examples Lecture 2 - Lagrangian splittings, real and complex polarizations, Kähler manifolds Lecture 3 - Reduction, the calculus of canonical relations, intermediate polarizations Lecture 4 - Hamiltonian systems and group actions on symplectic manifolds Lecture 5 - Normal forms Lecture 6 - Lagrangian submanifolds and families of functions Lecture 7 - Intersection Theory of Lagrangian submanifolds Lecture 8 - Quantization on cotangent bundles Lecture 9 - Quantization and polarizations Lecture 10 - Quantizing Lagrangian submanifolds and subspaces, construction of the Maslov bundle
520			_aThe first six sections of these notes contain a description of some of the basic constructions and results on symplectic manifolds and lagrangian submanifolds. Section 7, on intersections of largrangian submanifolds, is still mostly internal to symplectic geometry, but it contains some applications to machanics and dynamical systems. Sections 8, 9, and 10 are devoted to various aspects of the quantization problem. In Section 10 there is a feedback of ideas from quantization theory into symplectic geometry itslef.
942			_2lcc _cBK
999			_c2531 _d2531