Geometry & Topology Volume 9, issue 3 (2005)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

Submission form

Editorial board

Subscriptions

ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

Author index

To appear

Other MSP journals

Algebraic cycles and the classical groups II: Quaternionic cycles

H Blaine Lawson, Jr, Paulo Lima-Filho and Marie-Louise Michelsohn

Geometry & Topology 9 (2005) 1187–1220

DOI: 10.2140/gt.2005.9.1187

Bibliography

1	M F Atiyah, $K$–theory and reality, Quart. J. Math. Oxford Ser. $(2)$ 17 (1966) 367 MR0206940
2	C P Boyer, H B Lawson Jr, P Lima-Filho, B M Mann, M L Michelsohn, Algebraic cycles and infinite loop spaces, Invent. Math. 113 (1993) 373 MR1228130
3	A Dold, R Thom, Quasifaserungen und unendliche symmetrische Produkte, Ann. of Math. $(2)$ 67 (1958) 239 MR0097062
4	P F dos Santos, Algebraic cycles on real varieties and $\mathbb{Z}/2$-equivariant homotopy theory, Proc. London Math. Soc. $(3)$ 86 (2003) 513 MR1971161
5	P F dos Santos, P Lima-Filho, Quaternionic algebraic cycles and reality, Trans. Amer. Math. Soc. 356 (2004) 4701 MR2084395
6	P F dos Santos, P Lima-Filho, Quaternionic $K$–theory for real varieties, in preparation
7	J L Dupont, Symplectic bundles and $KR$–theory, Math. Scand. 24 (1969) 27 MR0254839
8	J Dupont, A note on characteristic classes for real vector bundles, preprint (1999)
9	E M Friedlander, H B Lawson Jr, A theory of algebraic cocycles, Ann. of Math. $(2)$ 136 (1992) 361 MR1185123
10	W Fulton, Intersection theory, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) 2, Springer (1984) MR732620
11	F R Harvey, H B Lawson Jr, On boundaries of complex analytic varieties I, Ann. of Math. $(2)$ 102 (1975) 223 MR0425173
12	T K Lam, Spaces of real algebraic cycles and homotopy theory, PhD thesis, SUNY, Stony Brook (1990)
13	H B Lawson Jr, Algebraic cycles and homotopy theory, Ann. of Math. $(2)$ 129 (1989) 253 MR986794
14	H B Lawson Jr, P Lima-Filho, M L Michelsohn, On equivariant algebraic suspension, J. Algebraic Geom. 7 (1998) 627 MR1642736
15	H B Lawson Jr, P Lima-Filho, M L Michelsohn, Algebraic cycles and the classical groups I: Real cycles, Topology 42 (2003) 467 MR1941445
16	H B Lawson Jr, M L Michelsohn, Algebraic cycles, Bott periodicity, and the Chern characteristic map, from: "The mathematical heritage of Hermann Weyl (Durham, NC, 1987)", Proc. Sympos. Pure Math. 48, Amer. Math. Soc. (1988) 241 MR974339
17	P Lima-Filho, Lawson homology for quasiprojective varieties, Compositio Math. 84 (1992) 1 MR1183559
18	P Lima-Filho, Completions and fibrations for topological monoids, Trans. Amer. Math. Soc. 340 (1993) 127 MR1134758
19	P Lima-Filho, On the equivariant homotopy of free abelian groups on $G$–spaces and $G$–spectra, Math. Z. 224 (1997) 567 MR1452050
20	J P May, $E_{\infty }$ ring spaces and $E_{\infty }$ ring spectra, Lecture Notes in Mathematics 577, Springer (1977) 268 MR0494077
21	J W Milnor, J D Stasheff, Characteristic classes, Annals of Mathematics Studies 76, Princeton University Press (1974) MR0440554
22	J Mostovoy, Quaternion flavored cycle spaces, ICMS preprint, Edinburgh University (1975)