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The moment maps in diffeology /
"This memoir presents a generalization of the moment maps to the category {Diffeology}. This construction applies to every smooth action of any diffeological group G preserving a closed 2-form w, defined on some diffeological space X. In particular, that reveals a universal construction, associ...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, R.I. :
American Mathematical Society,
2010.
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 972. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Iglesias-Zemmour, Patrick, |d 1953- | |
| 245 | 1 | 4 | |a The moment maps in diffeology / |c Patrick Iglesias-Zemmour. |
| 264 | 1 | |a Providence, R.I. : |b American Mathematical Society, |c 2010. | |
| 300 | |a 1 online resource (72 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 0065-9268 ; |v number 972 | |
| 500 | |a "Volume 207, number 972 (second of 5 numbers)." | ||
| 504 | |a Includes bibliographical references (pages 71-72). | ||
| 505 | 0 | |a Few words about diffeology -- Diffeological groups and momenta -- The paths moment map -- The 2-points moment map -- The moment maps -- The moment maps for exact 2-forms -- Functoriality of the moment maps -- The universal moment maps -- About symplectic manifolds -- The homogeneous case -- Examples of moment maps in diffeology. | |
| 520 | |a "This memoir presents a generalization of the moment maps to the category {Diffeology}. This construction applies to every smooth action of any diffeological group G preserving a closed 2-form w, defined on some diffeological space X. In particular, that reveals a universal construction, associated to the action of the whole group of automorphisms Diff (X, w). By considering directly the space of momenta of any diffeological group G, that is the space g* of left-invariant 1-forms on G, this construction avoids any reference to Lie algebra or any notion of vector fields, or does not involve any functional analysis. These constructions of the various moment maps are illustrated by many examples, some of them originals and others suggested by the mathematical literature."--Publisher's description | ||
| 588 | 0 | |a Print version record. | |
| 546 | |a English. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Symplectic geometry. | |
| 650 | 6 | |a Géométrie symplectique. | |
| 650 | 7 | |a MATHEMATICS |x Topology. |2 bisacsh | |
| 650 | 7 | |a Symplectic geometry |2 fast | |
| 758 | |i has work: |a The moment maps in diffeology (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFKvXPrMgxpXVdmYbFWfYP |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Iglesias-Zemmour, Patrick, 1953- |t Moment maps in diffeology |z 9780821847091 |w (DLC) 2010022756 |w (OCoLC)643081618 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 972. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3114118 |z Texto completo |
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