On the rational cohomology of the spaces of unparametrized closed curves

Francesco Mercuri

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1977)

  • Volume: 63, Issue: 5, page 281-289
  • ISSN: 0392-7881

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Mercuri, Francesco. "On the rational cohomology of the spaces of unparametrized closed curves." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 63.5 (1977): 281-289. <http://eudml.org/doc/289928>.

@article{Mercuri1977,
author = {Mercuri, Francesco},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {11},
number = {5},
pages = {281-289},
publisher = {Accademia Nazionale dei Lincei},
title = {On the rational cohomology of the spaces of unparametrized closed curves},
url = {http://eudml.org/doc/289928},
volume = {63},
year = {1977},
}

TY - JOUR
AU - Mercuri, Francesco
TI - On the rational cohomology of the spaces of unparametrized closed curves
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1977/11//
PB - Accademia Nazionale dei Lincei
VL - 63
IS - 5
SP - 281
EP - 289
LA - eng
UR - http://eudml.org/doc/289928
ER -

References

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  1. ALBERT, S. I. (1960) - On periodicity problems in the calculus of variations in the large, «Amer. Math. Soc. Transl.», (2) 14, 107-172. MR113234
  2. BOREL, A. (1960) - Seminar in transformation groups, «Ann. of Math. Studies», 46, Pricenton University Press, Princeton, N. J.. Zbl0091.37202MR116341
  3. CULTER, W. H. (1969) - Negligible subsets of infinite dimensional Frechet manifolds, «Proc. of Amer. Math. Soc.», 23, 668-675. MR248883DOI10.2307/2036608
  4. ELLIASON, H. (1972) - Morse theory for closed curves, Symposium in inf. dim. topology, Ann. of Math. Studies, n. 69, Princeton University Press, Princeton N.J., 63-77. MR407889
  5. KLINGENBERG, W. (1968) - The space of closed curves on the sphere, «Topology», 7, 395-415. Zbl0174.55102MR236957DOI10.1016/0040-9383(68)90015-3
  6. KLINGENBERG, W. (1977) - Lecture on closed geodesics, 3a edition University of Bonn. MR461361
  7. MERCURI, F. - The critical points theory for the closed geodesics problem, to appear in «Math. Z.». Zbl0344.58013MR474115DOI10.1007/BF01214411
  8. MORSE, M. (1934) - The calculus of variations in the large, «Amer. Math. Soc. Colloq.», 18. Zbl0011.02802MR1451874
  9. PALAIS, R. (1968) - Foundation of global non linear analysis, Benjamin, N. Y.. MR248880
  10. SPANIER, E. (1966) - Algebraic topology, McGraw-Hill, N. Y.. Zbl0145.43303MR210112
  11. SULLIVAN, D. - Infinitesimal computation in topology. Preprint. Zbl0374.57002MR646078
  12. SULLIVAN, D. and VIGUE POIRRER, M. - The homology theory for the closed geodesics problem, to appear in «J. of Diff. geometry». MR455028
  13. ŠARC, A. S. (1960) - Homology of the space of closed curves, «Trudy Moskov. Math. Obšč», 9, 3-44. MR133824
  14. ZILLER, W. (1975) - Geschlassene Geodätische auf global symmtrischen und homogenen Räumen. Dissertation, Bonn. MR455029

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