Cohomology of configuration spaces of complex projective spaces

Tanweer Sohail

Czechoslovak Mathematical Journal (2010)

  • Volume: 60, Issue: 2, page 411-422
  • ISSN: 0011-4642

Abstract

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In this paper we compute topological invariants for some configuration spaces of complex projective spaces. We shall describe Sullivan models for these configuration spaces.

How to cite

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Sohail, Tanweer. "Cohomology of configuration spaces of complex projective spaces." Czechoslovak Mathematical Journal 60.2 (2010): 411-422. <http://eudml.org/doc/38016>.

@article{Sohail2010,
abstract = {In this paper we compute topological invariants for some configuration spaces of complex projective spaces. We shall describe Sullivan models for these configuration spaces.},
author = {Sohail, Tanweer},
journal = {Czechoslovak Mathematical Journal},
keywords = {configuration spaces; cohomological algebra; complex projective spaces; configuration space; cohomological algebra; complex projective space},
language = {eng},
number = {2},
pages = {411-422},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Cohomology of configuration spaces of complex projective spaces},
url = {http://eudml.org/doc/38016},
volume = {60},
year = {2010},
}

TY - JOUR
AU - Sohail, Tanweer
TI - Cohomology of configuration spaces of complex projective spaces
JO - Czechoslovak Mathematical Journal
PY - 2010
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 60
IS - 2
SP - 411
EP - 422
AB - In this paper we compute topological invariants for some configuration spaces of complex projective spaces. We shall describe Sullivan models for these configuration spaces.
LA - eng
KW - configuration spaces; cohomological algebra; complex projective spaces; configuration space; cohomological algebra; complex projective space
UR - http://eudml.org/doc/38016
ER -

References

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  4. Cohen, F. R., The homology of C n + 1 -spaces, n 0 , In: The homology of iterated loop spaces, Lect. Notes in Math. 207-351 533 (1976). (1976) 
  5. Cohen, F., Taylor, L., Computations of Gel'fand-Fuks cohomology, the cohomology of function spaces, and the cohomology of configuration spaces, In Geometric applications of homology theory, I, Lect. Notes in Math. 106-143 657 (1978). (1978) MR0513543
  6. Fadell, E. R., Hussaini, S. Y., Geometry and topology of configuration spaces, Springer Monographs in Mathematics. Springer-Verlag Berlin (2001). (2001) MR1802644
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  8. Kriz, I., 10.2307/2946581, Ann. Math. 139 (1994), 227-237. (1994) Zbl0829.55008MR1274092DOI10.2307/2946581
  9. Totaro, B., 10.1016/0040-9383(95)00058-5, Topology 35 (1996), 1057-1067. (1996) Zbl0857.57025MR1404924DOI10.1016/0040-9383(95)00058-5

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