Topology of cyclic configuration spaces and periodic trajectories of multi-dimensional billiards

Topology

Volumn 41, Issue 3, 2002, Pages 553-589

  Farber, Michael ^a   Tabachnikov, Serge ^b  

^a TEL AVIV UNIVERSITY   (Israel)

^b PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

Cyclic configuration space; Equivariant cohomology; Mathematical billiards; Morse and Lusternik Schnirelman theories

Indexed keywords

EID: 0036153754     PISSN: 00409383     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0040-9383(01)00021-0     Document Type: Article

References (22)

1. The cohomology ring of the group of dyed braid
2. Periodic trajectories in three-dimensional Birkhoff billiards
3. Homotopy and homology related to the Schoenflies problem
4. Mather sets for twist maps and geodesics on tori
5. Dynamical systems
6. Sur la cohomologie des espaces principaux et des homogenes de groupes de Lie compactes
7. Lectures on Morse theory, old and new
8. Critical point theory with symmetries
9. Artin's braid group, classical homotopy theory, and sundry other curiosities
10. On configuration spaces, their homology, and Lie algebras
11. On the Steinhaus billiard table problem
12. Stable Mappings and their Singularities
13. Billiards, a Generic Introduction to the Dynamics of Systems with Impacts
14. A G-Lusternik-Schnirelman category of a space with an action of a compact Lie group
15. Billiards
16. Configuration spaces of algebraic varieties
17. Periodic trajectories in 3-dimensional convex billiards