Flag manifolds and the Landweber-Novikov algebra

Geometry and Topology

Volumn 2, Issue , 1998, Pages 79-101

  Buchstaber, Victor M ^a   Ray, Nigel ^b  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

^b UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

Complex cobordism; Double cobordism; Flag manifold; Landweber Novikov algebra; Schubert calculus; Toric variety

Indexed keywords

EID: 0040079756     PISSN: 14653060     EISSN: None     Source Type: Journal    
DOI: 10.2140/gt.1998.2.79     Document Type: Article

References (24)

1. J Frank Adams, Stable Homotopy and Generalized Homology, Chicago Lectures in Mathematics, University of Chicago Press (1974)
2. Martin Aigner, Combinatorial Theory, Springer-Verlag (1979)
3. Anthony Bahri, Martin Bendersky, The KO-theory of toric manifolds, preprint, Rider University (1997)
4. Raoul Bott, Hans Samelson, Application of the theory of Morse to symmetric spaces, American J. Math. 80 (1958) 964-1029
5. Paul Bressler, Sam Evens, Schubert calculus in complex cobordism, Transactions of the AMS 331 (1992) 799-813
6. VM Buchstaber, AB Shokurov, The Landweber-Novikov algebra and formal vector fields on the line, Funktsional Analiz i Prilozhen 12 (1978) 1-11
7. Victor M Buchstaber, Semigroups of maps into groups, operator doubles, and complex cobordisms, from: "Topics in Topology and Mathematical Physics", SP Novikov, editor, AMS Translations (2) 170 (1995) 9-31
8. Victor M Buchstaber, Nigel Ray, Double cobordism and quantum doubles, preprint, University of Manchester (1997)
9. Michael W Davis, Tadeusz Januszkiewicz, Convex polytopes, Coxeter orbifolds and torus actions, Duke Math. J. 62 (1991) 417-451
10. AD Elmendorf, The Grassmannian geometry of spectra, J. of Pure and Applied Algebra 54 (1988) 37-94
11. William Fulton, Introduction to Toric Varieties, Annals of Math. Studies, No. 131, Princeton UP (1993)
12. Phillip Griffiths, Joseph Harris, Principles of Algebraic Geometry, Wiley Classics Library, John Wiley and Sons (1994)
13. Howard H Hiller, Geometry of Coxeter Groups, Research Notes in Mathematics, No. 54, Pitman (1982)
14. Christian Kassel, Quantum Groups, Graduate Texts in Mathematics, volume 155, Springer-Verlag (1995)
15. Toshiyuki Katsura, Yuji Shimizu, Kenji Ueno, Complex cobordism ring and conformal field theory over Z, Mathematische Annalen 291 (1991) 551-571
16. Ian G Macdonald, Notes on Schubert Polynomials, Publications du Laboratoire de Combinatoire et d'Informatique Mathématique, volume 6, Université du Québec a Montréal (1991)
17. Peter Magyar, Bott-Samelson varieties and configuration spaces, preprint, Northeastern University (1996)
18. Sergei P Novikov, Various doubles of Hopf algebras: Operator algebras on quantum groups, and complex cobordism, Uspekhi Akademii Nauk SSSR 47 (1992) 189-190
19. Daniel G Quillen, Elementary proofs of some results of cobordism theory using Steenrod operations, Advances in Math. 7 (1971) 29-56
20. Nigel Ray, SU and Sp Bordism. PhD thesis, Manchester University (1969)
21. Nigel Ray, On a construction in bordism theory, Proceedings of the Edinburgh Math. Soc. 29 (1986) 413-422
22. Nigel Ray, William Schmitt, Combinatorial models for coalgebraic structures, preprint, University of Memphis (1997)
23. Nigel Ray, Robert Switzer, On SUxSU bordism, Oxford Quarterly J. Math. 21 (1970) 137-150
24. Robert E Stong, Notes on Cobordism Theory, Princeton UP (1968)