Brown-Peterson spectra in stable 𝔸 1 -homotopy theory

Gabriele Vezzosi

Rendiconti del Seminario Matematico della Università di Padova (2001)

  • Volume: 106, page 47-64
  • ISSN: 0041-8994

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Vezzosi, Gabriele. "Brown-Peterson spectra in stable $\mathbb {A}^1$-homotopy theory." Rendiconti del Seminario Matematico della Università di Padova 106 (2001): 47-64. <http://eudml.org/doc/108568>.

@article{Vezzosi2001,
author = {Vezzosi, Gabriele},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
language = {eng},
pages = {47-64},
publisher = {Seminario Matematico of the University of Padua},
title = {Brown-Peterson spectra in stable $\mathbb \{A\}^1$-homotopy theory},
url = {http://eudml.org/doc/108568},
volume = {106},
year = {2001},
}

TY - JOUR
AU - Vezzosi, Gabriele
TI - Brown-Peterson spectra in stable $\mathbb {A}^1$-homotopy theory
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2001
PB - Seminario Matematico of the University of Padua
VL - 106
SP - 47
EP - 64
LA - eng
UR - http://eudml.org/doc/108568
ER -

References

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  1. [1] M. Cole - J.P.C. Greenless - I. Kriz, The universality of equivariant complex bordism, preprint, 1999, http://hopf.math.purdue.edu/pub/Cole-Greenlees-Kriz/AThom Zbl1008.55015
  2. [2] W. Fulton, Intersection theory, Second edition, Springer Verlag, New York, 1998. Zbl0541.14005MR1644323
  3. [3] M. Hazewinkel, Formal groups and applications, Academic Press, New York, 1978. Zbl0454.14020MR506881
  4. [4] F. Morel, Basic properties of the stable homotopy categories of smooth schemes, Preprint, http://www.math.jussieu.fr/morel/Stable.ps 
  5. [5] F. Morel - V. Voevodsky, A1-homotopy of schemes, to appear in Publ. Math. IHES. 
  6. [6] D. Quillen, On the formal group laws of unoriented and complex cobordism theory, Bull. A.M.S., 75 (1969), pp. 1293-1298. Zbl0199.26705MR253350
  7. [7] D. Quillen, Elementary proofs of some results of cobordism theory using Steenrod operations, Adv. in Math., 7 (1971), pp. 29-56. Zbl0214.50502MR290382
  8. [8] Y.B. Rudyak, On Thom spectra, orientability and cobordism, Springer Monographs in Mathematics, Springer Verlag, New York, 1998. Zbl0906.55001MR1627486
  9. [9] R. Stong, Notes on cobordism theory, Princeton University Press, Princeton, 1968. Zbl0181.26604MR248858
  10. [10] R.M. Switzer, Algebraic topology-Homotopy and Homology, Springer Verlag, New York, 1975. Zbl0305.55001MR385836
  11. [11] B. Totaro, Torsion algebraic cycles and complex cobordism, JournalA.M.S., 10 (1992), pp. 467-493. Zbl0989.14001MR1423033
  12. [12] V. Voevodsky, A1-homotopy theory, Doc. Math. J. DMV, Extra volume ICM 1998, I, 417-442. Zbl0907.19002MR1648048
  13. [13] V. Voevodsky, Lecture 3: Algebraic cobordism, Workshop on homotopy theory of algebraic varieties, MSRI, Berkeley, May 1998, http://www.msri.org/publications/In/msri/1998/homotopy/voevodsky/3. 
  14. [14] V. Voevodsky, The Milnor conjecture, preprint MPI, 1996. 
  15. [15] C. Weibel, Voevodsky's Seattle Lectures: K-theory and motivic cohomology, Proc. symp. Pure Math., 67 (1999). Zbl0941.19001MR1743246
  16. [16] W.S. Wilson, TheW-spetrum for Broum-Peterson cohomology, part II, Am. J. Math., 97 (1975), pp. 101-123. Zbl0303.55003

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