Moment maps and geometric invariant theory
Chris Woodward (2010)
Les cours du CIRM
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Displaying similar documents to “The space of clouds in Euclidean space.”
Moment maps and geometric invariant theory
Moment maps and geometric invariant theory—Corrected version (October 2011)
Chris Woodward (2010)
Les cours du CIRM
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Singular reduction of generalized complex manifolds.
Goldberg, Timothy E. (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Non-Hamiltonian actions and Lie-algebra cohomology of vector fields.
Ferreiro Pérez, Roberto, Muñoz Masqué, Jaime (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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A geometric description of differential cohomology
Ulrich Bunke, Matthias Kreck, Thomas Schick (2010)
Annales mathématiques Blaise Pascal
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In this paper we give a geometric cobordism description of differential integral cohomology. The main motivation to consider this model (for other models see [, , , ]) is that it allows for simple descriptions of both the cup product and the integration. In particular it is very easy to verify the compatibilty of these structures. We proceed in a similar way in the case of differential cobordism as constructed in []. There the starting point was Quillen’s cobordism description of singular...
The geometry of the local cohomology filtration in equivariant bordism.
Sinha, Dev P. (2001)
Homology, Homotopy and Applications
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The cohomology ring of polygon spaces
Jean-Claude Hausmann, Allen Knutson (1998)
Annales de l'institut Fourier
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We compute the integer cohomology rings of the “polygon spaces”introduced in [F. Kirwan, Cohomology rings of moduli spaces of vector bundles over Riemann surfaces, J. Amer. Math. Soc., 5 (1992), 853-906] and [M. Kapovich & J. Millson, the symplectic geometry of polygons in Euclidean space, J. of Diff. Geometry, 44 (1996), 479-513]. This is done by embedding them in certain toric varieties; the restriction map on cohomology is surjective and we calculate its kernel using ideas from...
Singular Poisson reduction of cotangent bundles.
Simon Hochgerner, Armin Rainer (2006)
Revista Matemática Complutense
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We consider the Poisson reduced space (T* Q)/K, where the action of the compact Lie group K on the configuration manifold Q is of single orbit type and is cotangent lifted to T* Q. Realizing (T* Q)/K as a Weinstein space we determine the induced Poisson structure and its symplectic leaves. We thus extend the Weinstein construction for principal fiber bundles to the case of surjective Riemannian submersions Q → Q/K which are of single orbit type.