Hamiltonian Reduction by Stages

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Springer, Jun 5, 2007 - Mathematics - 524 pages
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In this volume readers will find for the first time a detailed account of the theory of symplectic reduction by stages, along with numerous illustrations of the theory. Special emphasis is given to group extensions, including a detailed discussion of the Euclidean group, the oscillator group, the Bott-Virasoro group and other groups of matrices. Ample background theory on symplectic reduction and cotangent bundle reduction in particular is provided. Novel features of the book are the inclusion of a systematic treatment of the cotangent bundle case, including the identification of cocycles with magnetic terms, as well as the general theory of singular reduction by stages.

 

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Contents

II
3
III
12
IV
24
V
36
VI
43
VII
59
VIII
71
IX
88
XXXIX
286
XL
295
XLI
304
XLII
309
XLIII
315
XLIV
321
XLV
347
XLVI
397

X
101
XI
106
XII
110
XIII
113
XIV
119
XV
132
XVI
137
XVII
143
XVIII
144
XIX
149
XX
171
XXI
176
XXII
178
XXIII
198
XXIV
201
XXV
204
XXVI
211
XXVII
212
XXVIII
225
XXIX
239
XXX
240
XXXI
245
XXXII
251
XXXIII
252
XXXIV
253
XXXV
259
XXXVI
267
XXXVII
279
XXXVIII
284
XLVII
398
XLVIII
401
XLIX
406
L
409
LI
416
LII
419
LIII
420
LIV
421
LV
423
LVII
426
LVIII
427
LIX
430
LX
432
LXI
435
LXII
437
LXIII
443
LXIV
446
LXV
454
LXVI
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LXVII
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LXVIII
460
LXIX
464
LXX
466
LXXI
470
LXXII
475
LXXIII
481
LXXIV
483
LXXV
509
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