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We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
Periodic motion and the arnold conjecture
Kishore MaratheAbstract
We discuss the geometric formulation of the classical Hamiltonian system of equations and the problem of existence of periodic solutions for such systems. After a brief discussion of the Poincaré-Birkhoff theorem we give the most general statement of the Arnold conjecture. In the remaining article we sketch the developments in symplectic topology motivated by the Arnold conjecture culminating in its proof.
- Received:
- 18.01.00
- Published:
- 18.01.00