The Breadth of Symplectic and Poisson Geometry

By Jerrold E. Marsden, Tudor S. Ratiu. 2007

211 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/e28aff27e1685c65d25f8bdac06835c4465cfe1c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Peter J. Olver
2. Juha Pohjanpelto
3. A. Cabrera
4. H. Bursztyn
5. Hsian-Hua Tseng
6. Matías L. del Hoyo
7. A. Henriques

In Applied Mathematics

1. Peter J. Olver
2. Matías L. del Hoyo
3. H. Bursztyn
4. A. Cabrera

In Mathematical Physics

1. Juha Pohjanpelto
2. Peter J. Olver
3. A. Cabrera
4. H. Bursztyn
5. T. Milanov
6. Hsian-Hua Tseng
7. Matías L. del Hoyo
8. H. Iritani

Citations in the corpus

• Differential invariant algebras of Lie pseudo-groups (2009, background): “[20], conformal geometry and conformal field theory, [16, 18], symplectic and Poisson geometry, [36, 40], and the geometry of real hypersurfaces, [11], as well as symmetry groups of a wide variety of partial differential equations, [28, 40], gauge theories, [4], fluid mechanics, [2, 7], solitons and”
• The spaces of Laurent polynomials, Gromov-Witten theory of ℙ1-orbifolds and integrable hierarchies (2008, background): “Examples include KdV, KP, and Toda lattice hierarchies.”
• Vector bundles over Lie groupoids and algebroids (2014, methodology): “, analogously to what happens for LA-groupoids and PVB-groupoids [22, Thm. 3.14].”
• The Witten equation, mirror symmetry and quantum singularity theory (2007, unknown): “A fundamental theorem of Frenkel-Givental-Milanov [GM05], [FGM10] is”