| Title:
|
Cohomology of configuration spaces of complex projective spaces (English) |
| Author:
|
Sohail, Tanweer |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
60 |
| Issue:
|
2 |
| Year:
|
2010 |
| Pages:
|
411-422 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we compute topological invariants for some configuration spaces of complex projective spaces. We shall describe Sullivan models for these configuration spaces. (English) |
| Keyword:
|
configuration spaces |
| Keyword:
|
cohomological algebra |
| Keyword:
|
complex projective spaces |
| MSC:
|
55T10 |
| MSC:
|
57N65 |
| idZBL:
|
Zbl 1224.55006 |
| idMR:
|
MR2657958 |
| . |
| Date available:
|
2010-07-20T16:48:23Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140578 |
| . |
| Reference:
|
[1] Arnold, V. I.: The cohomology ring of dyed braids.Mat. Zametki 5 (1969), 227-231. MR 0242196 |
| Reference:
|
[2] Artin, E.: Theory of braids.Ann. of Math. 48 (1947), 101-126. Zbl 0030.17703, MR 0019087, 10.2307/1969218 |
| Reference:
|
[3] Berceanu, B., Markl, M., Papadima, S.: Multiplicative models for configuration spaces of algebraic varieties.Topology 44 (2005), 415-440. Zbl 1062.55017, MR 2114955, 10.1016/j.top.2004.10.002 |
| Reference:
|
[4] Cohen, F. R.: The homology of $C_{n+1}$-spaces, $n \geq 0$.In: The homology of iterated loop spaces, Lect. Notes in Math. 207-351 533 (1976). |
| Reference:
|
[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). MR 0513543 |
| Reference:
|
[6] Fadell, E. R., Hussaini, S. Y.: Geometry and topology of configuration spaces.Springer Monographs in Mathematics. Springer-Verlag Berlin (2001). MR 1802644 |
| Reference:
|
[7] Fulton, W., MacPherson, R.: A compactification of configuration spaces.Ann. Math. 139 (1994), 183-225. Zbl 0820.14037, MR 1259368, 10.2307/2946631 |
| Reference:
|
[8] Kriz, I.: On the rational homotopy type of configuration spaces.Ann. Math. 139 (1994), 227-237. Zbl 0829.55008, MR 1274092, 10.2307/2946581 |
| Reference:
|
[9] Totaro, B.: Configuration spaces of algebraic varieties.Topology 35 (1996), 1057-1067. Zbl 0857.57025, MR 1404924, 10.1016/0040-9383(95)00058-5 |
| . |
