Lectures on Symplectic Geometry

By Ana C. Silva. 2008

617 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/5ccc643ef46d7cd876cffbcf99b54ab3a63f0140

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. A. González-Enríquez
2. Alessio Figalli
3. Ludovic Rifford
4. R. Llave
5. À. Haro

In Discrete Mathematics and Combinatorics

1. A. González-Enríquez
2. Alessio Figalli
3. Ludovic Rifford
4. R. Llave
5. À. Haro

In Mathematical Physics

1. Ludovic Rifford
2. Alessio Figalli
3. A. González-Enríquez
4. Chang Liu
5. Jingwei Zhuo
6. Jun Zhu
7. R. Llave
8. À. Haro

Citations in the corpus

• Singularity Theory for Non-Twist Kam Tori (2014, background): “1 is an infinitesimal version of the celebrated Weinstein Lagrangian Neighborhood Theorem [69] (see also Chapter 8 in [15]).”
• Understanding MCMC Dynamics as Flows on the Wasserstein Space (2019, background): “The Hamiltonian flow may be more widely known on a symplectic manifold or more particularly a cotangent bundle (e.g. Da Silva (2001); Marsden & Ratiu (2013)), but these cases are not general enough for our purpose (e.g. they requireM to be even-dimensional).”
• Continuity of optimal transport maps and convexity of injectivity domains on small deformations of 𝕊2 (2009, background): “We refer the reader to [1, 6] for more details about the notions of symplectic geometry introduced above.”