In this paper, we compute the Lawson homology groups and Deligne–Beilinson cohomology groups for the Fulton–MacPherson configuration spaces.
Hu, Wenchuan  1 ; Li, Li  2
@article{10_2140_agt_2009_9_455,
author = {Hu, Wenchuan and Li, Li},
title = {The {Lawson} homology for {Fulton{\textendash}MacPherson} configuration spaces},
journal = {Algebraic and Geometric Topology},
pages = {455--471},
year = {2009},
volume = {9},
number = {1},
doi = {10.2140/agt.2009.9.455},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2009.9.455/}
}
TY - JOUR AU - Hu, Wenchuan AU - Li, Li TI - The Lawson homology for Fulton–MacPherson configuration spaces JO - Algebraic and Geometric Topology PY - 2009 SP - 455 EP - 471 VL - 9 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.2140/agt.2009.9.455/ DO - 10.2140/agt.2009.9.455 ID - 10_2140_agt_2009_9_455 ER -
Hu, Wenchuan; Li, Li. The Lawson homology for Fulton–MacPherson configuration spaces. Algebraic and Geometric Topology, Tome 9 (2009) no. 1, pp. 455-471. doi: 10.2140/agt.2009.9.455
[1] , , Chern-Simons perturbation theory. II, J. Differential Geom. 39 (1994) 173
[2] , $H$–cohomologies versus algebraic cycles, Math. Nachr. 184 (1997) 5
[3] , , Wonderful models of subspace arrangements, Selecta Math. $($N.S.$)$ 1 (1995) 459
[4] , , Quasifaserungen und unendliche symmetrische Produkte, Ann. of Math. $(2)$ 67 (1958) 239
[5] , , Deligne–Beĭlinson cohomology, from: "Beĭlinson's conjectures on special values of $L$–functions" (editors M Rapoport, N Schappacher, P Schneider), Perspect. Math. 4, Academic Press (1988) 43
[6] , Algebraic cycles, Chow varieties, and Lawson homology, Compositio Math. 77 (1991) 55
[7] , , Cycle spaces and intersection theory, from: "Topological methods in modern mathematics (Stony Brook, NY, 1991)" (editors L R Goldberg, A V Phillips), Publish or Perish (1993) 325
[8] , Intersection theory, Ergebnisse series (3) 2, Springer (1998)
[9] , , A compactification of configuration spaces, Ann. of Math. $(2)$ 139 (1994) 183
[10] , Birational invariants defined by Lawson homology
[11] , , Lawson homology, morphic cohomology and Chow motives
[12] , Intersection theory of moduli space of stable $n$–pointed curves of genus zero, Trans. Amer. Math. Soc. 330 (1992) 545
[13] , Algebraic cycles and homotopy theory, Ann. of Math. $(2)$ 129 (1989) 253
[14] , Spaces of algebraic cycles, from: "Surveys in differential geometry, Vol. II (Cambridge, MA, 1993)" (editors C C Hsiung, S T Yau), Int. Press (1995) 137
[15] , Chow Motive of Fulton–MacPherson configuration spaces and wonderful compactifications, to appear in Michigan Math. J.
[16] , Wonderful compactifications of arrangements of subvarieties, to appear in Michigan Math. J.
[17] , Lawson homology for quasiprojective varieties, Compositio Math. 84 (1992) 1
[18] , , Making conical compactifications wonderful, Selecta Math. $($N.S.$)$ 4 (1998) 125
[19] , Lawson homology for varieties with small Chow groups and the induced filtration on the Griffiths groups, Math. Z. 234 (2000) 209
[20] , Enumerative combinatorics. Vol. 2, Cambridge Studies in Adv. Math. 62, Cambridge Univ. Press (1999)
[21] , Integral expressions for the Vassiliev knot invariants
[22] , Hodge theory and complex algebraic geometry. I, Cambridge Studies in Adv. Math. 76, Cambridge Univ. Press (2002)
[23] , Hodge theory and complex algebraic geometry. II, Cambridge Studies in Adv. Math. 77, Cambridge Univ. Press (2003)
Cité par Sources :