Symplectic and Contact Topology
Floer homology, contact homology, and Gromov nonsqueezing.
Symplectic and Contact Topology. Floer homology, contact homology, and Gromov nonsqueezing.
Foundations and canonical references
The standard treatments of symplectic and contact topology approach the subject from complementary angles. Mcduff, Introduction to Symplectic Topology (2017) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.
Open methodological questions for symplectic and contact topology include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 2017Introduction to Symplectic Topologymcduff-2017, salamon-2017
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