Volume 2, issue 1 (1998)

Download this article
For printing
Recent Issues

Volume 26
Issue 3, 937–1434
Issue 2, 477–936
Issue 1, 1–476

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Interests
Editorial Procedure
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
Author Index
To Appear
 
Other MSP Journals
Flag manifolds and the Landweber–Novikov algebra

Victor M Buchstaber and Nigel Ray

Geometry & Topology 2 (1998) 79–101
Bibliography
1 J F Adams, Stable homotopy and generalised homology, University of Chicago Press (1974) MR0402720
2 M Aigner, Combinatorial theory, Grundlehren der Mathematischen Wissenschaften 234, Springer (1979) MR542445
3 A Bahri, M Bendersky, The KO–theory of toric manifolds, preprint, Rider University (1997)
4 R Bott, H Samelson, Applications of the theory of Morse to symmetric spaces, Amer. J. Math. 80 (1958) 964 MR0105694
5 P Bressler, S Evens, Schubert calculus in complex cobordism, Trans. Amer. Math. Soc. 331 (1992) 799 MR1044959
6 V M Buhštaber, A V Šokurov, The Landweber–Novikov algebra and formal vector fields on the line, Funktsional. Anal. i Prilozhen. 12 (1978) 1, 96 MR509379
7 V M Buchstaber, Semigroups of maps into groups, operator doubles, and complex cobordisms, from: "Topics in topology and mathematical physics", Amer. Math. Soc. Transl. Ser. 2 170, Amer. Math. Soc. (1995) 9 MR1355549
8 V M Buchstaber, N Ray, Double cobordism and quantum doubles, preprint, University of Manchester (1997)
9 M W Davis, T Januszkiewicz, Convex polytopes, Coxeter orbifolds and torus actions, Duke Math. J. 62 (1991) 417 MR1104531
10 A D Elmendorf, The Grassmannian geometry of spectra, J. Pure Appl. Algebra 54 (1988) 37 MR960990
11 W Fulton, Introduction to toric varieties, Annals of Mathematics Studies 131, Princeton University Press (1993) MR1234037
12 P Griffiths, J Harris, Principles of algebraic geometry, Wiley Classics Library, John Wiley & Sons (1994) MR1288523
13 H Hiller, Geometry of Coxeter groups, Research Notes in Mathematics 54, Pitman (Advanced Publishing Program) (1982) MR649068
14 C Kassel, Quantum groups, Graduate Texts in Mathematics 155, Springer (1995) MR1321145
15 T Katsura, Y Shimizu, K Ueno, Complex cobordism ring and conformal field theory over $\mathbb{Z}$, Math. Ann. 291 (1991) 551 MR1133349
16 I G Macdonald, Schubert polynomials, from: "Surveys in combinatorics, 1991 (Guildford, 1991)", London Math. Soc. Lecture Note Ser. 166, Cambridge Univ. Press (1991) 73 MR1161461
17 P Magyar, Bott–Samelson varieties and configuration spaces, preprint, Northeastern University (1996)
18 S P Novikov, Various doublings of Hopf algebras. Algebras of operators on quantum groups, complex cobordisms, Uspekhi Mat. Nauk 47 (1992) 189 MR1211837
19 D Quillen, Elementary proofs of some results of cobordism theory using Steenrod operations, Advances in Math. 7 (1971) MR0290382
20 N Ray, SU and Sp bordism, PhD thesis, University of Manchester (1969)
21 N Ray, On a construction in bordism theory, Proc. Edinburgh Math. Soc. $(2)$ 29 (1986) 413 MR865274
22 N Ray, W Schmitt, Combinatorial models for coalgebraic structures, Adv. Math. 138 (1998) 211 MR1645570
23 N Ray, R M Switzer, On $\mathrm{SU}\times\mathrm{SU}$–bordism, Quart. J. Math. Oxford Ser. $(2)$ 21 (1970) 137 MR0264679
24 R E Stong, Notes on cobordism theory, Mathematical notes, Princeton University Press (1968) MR0248858