941:
605:, defined on derived Artin stacks and characterized by an integer degree; the concept of symplectic structure on smooth algebraic varieties is recovered when the degree is zero.
982:
441:
473:
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Martin
Bojowald; Alexei Kotov; Thomas Strobl (August 2005). "Lie algebroid morphisms, Poisson sigma models, and off-shell closed gauge symmetries".
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883:
52:
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266:
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Kontsevich, M. Enumeration of rational curves via torus actions. Progr. Math. 129, Birkhauser, Boston, 1995.
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25:
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that appear in symplectic geometry as they do not naturally fit into other lists such as the
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In addition, this glossary also includes some concepts (e.g., virtual fundamental class) in
37:
20:
in mathematics. The terms listed here cover the occurrences of symplectic geometry both in
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650:
An algebraic variety with a symplectic form on the smooth locus. The basic example is the
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335:
912:
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Pantev, T.; Toen, B.; Vaquie, M.; Vezzosi, G. (2013). "Shifted
Symplectic Structures".
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29:
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Kaledin, D. (2006-08-06). "Geometry and topology of symplectic resolutions".
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21:
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494:(sort of an intersection number defined on Lagrangian Grassmannian.)
834:
903:
804:
557:, a Poisson manifold that also has a structure of a Lie group.
58:
32:
for definiteness). The glossary also includes notions from
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Is the generic deformation of a symplectic variety affine?
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637:) that preserves the symplectic form that is present.
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is a diffeomorphism preserving the symplectic forms.
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16:This is a glossary of properties and concepts in
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895:Moment maps and geometric invariant theory
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874:Guillemin, V.; Sternberg, S. (1984).
397:4. Lagrangian intersection
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869:lecture notes on symplectic geometry
792:Publications mathématiques de l'IHÉS
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878:. New York: Cambridge Univ. Press.
926:http://arxiv.org/pdf/1409.0837.pdf
550:generalizes a symplectic manifold.
394:3. Lagrangian fibration
14:
893:Woodward, Christopher T. (2011),
939:
876:Symplectic Techniques in Physics
739:Journal of Geometry and Physics
564:, a particular two-dimensional
769:10.1016/j.geomphys.2004.11.002
711:to a wider notion of space in
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450:
436:{\displaystyle \omega ^{n}/n!}
53:glossary of algebraic geometry
1:
955:. You can help Knowledge by
597:shifted symplectic structure
378:Kontsevich formality theorem
245:completely integrable system
1002:Differential geometry stubs
468:{\displaystyle (M,\omega )}
285:with symplectic structures.
278:derived symplectic geometry
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283:Derived algebraic geometry
1012:Glossaries of mathematics
814:10.1007/s10240-013-0054-1
699:virtual fundamental class
443:on a symplectic manifold
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703:A generalization of the
656:smooth algebraic variety
267:deformation quantization
262:deformation quantization
951:-related article is a
928:(tangentially related)
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681:Thomas–Yau conjecture
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641:symplectic reduction
633:(or an action of an
603:symplectic structure
601:A generalization of
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34:Hamiltonian geometry
1007:Symplectic geometry
913:2009arXiv0912.1132W
761:2005JGP....54..400B
715:, in particular to
620:Springer resolution
614:Spectral invariants
566:Chern–Simons theory
562:Poisson sigma-model
62:Contents:
49:intersection theory
18:symplectic geometry
646:symplectic variety
609:Spectral invariant
560:5. The
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26:algebraic geometry
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705:fundamental class
668:symplectomorphism
662:symplectomorphism
625:symplectic action
585:quantized algebra
555:Poisson–Lie group
366:integrable system
361:integrable system
222:Arnold conjecture
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548:Poisson manifold
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520:Novikov ring
490:Maslov index
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329:Kenji Fukaya
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798:: 271–328.
349:Hamiltonian
240:coisotropic
996:Categories
844:References
390:Lagrangian
28:(over the
904:0912.1132
805:1111.3209
717:orbifolds
709:manifolds
579:quantized
460:ω
414:ω
822:11246087
777:15085408
273:dilating
22:topology
909:Bibcode
757:Bibcode
532:Poisson
515:Novikov
296:Noether
882:
820:
775:
498:moment
323:Fukaya
217:Arnold
947:This
899:arXiv
852:arXiv
818:S2CID
800:arXiv
773:S2CID
747:arXiv
724:Notes
654:of a
313:Floer
953:stub
880:ISBN
685:see
228:AKSZ
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810:doi
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104:G
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79:B
74:A
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