Reduced power operations in motivic cohomology

Vladimir Voevodsky

Publications Mathématiques de l'IHÉS (2003)

  • Volume: 98, page 1-57
  • ISSN: 0073-8301

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Voevodsky, Vladimir. "Reduced power operations in motivic cohomology." Publications Mathématiques de l'IHÉS 98 (2003): 1-57. <http://eudml.org/doc/104196>.

@article{Voevodsky2003,
author = {Voevodsky, Vladimir},
journal = {Publications Mathématiques de l'IHÉS},
keywords = {cohomology operations; Steenrod algebra; vector bundles; characteristic classes},
language = {eng},
pages = {1-57},
publisher = {Springer},
title = {Reduced power operations in motivic cohomology},
url = {http://eudml.org/doc/104196},
volume = {98},
year = {2003},
}

TY - JOUR
AU - Voevodsky, Vladimir
TI - Reduced power operations in motivic cohomology
JO - Publications Mathématiques de l'IHÉS
PY - 2003
PB - Springer
VL - 98
SP - 1
EP - 57
LA - eng
KW - cohomology operations; Steenrod algebra; vector bundles; characteristic classes
UR - http://eudml.org/doc/104196
ER -

References

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  1. 1. S. Bloch, The moving lemma for higher Chow groups, J. Algebr. Geom., 3(3) (1994), 537–568. Zbl0830.14003MR1269719
  2. 2. J. M. Boardman, The eightfold way to BP-operations, In Current trends in algebraic topology, pp. 187–226. Providence: AMS/CMS, 1982. Zbl0563.55002MR686116
  3. 3. P. May, A general algberaic approach to Steenrod operations, In The Steenrod algebra and its applications, volume 168 of Lecture Notes in Math., pp. 153–231, Springer, 1970. Zbl0242.55023
  4. 4. V. Voevodsky, C. Mazza, and C. Weibel, Lectures on motivic cohomology, I, www.math.ias.edu/∼vladimir/seminar.html, 2001. Zbl1115.14010
  5. 5. J. Milnor, The Steenrod algebra and its dual, Annals of Math., 67(1) (1958), 150–171. Zbl0080.38003MR99653
  6. 6. J. Milnor, Algebraic K-theory and quadratic forms, Invent. Math., 9 (1970), 318–344. Zbl0199.55501MR260844
  7. 7. F. Morel and V. Voevodsky, A 1-homotopy theory of schemes, Publ. Math. IHES, 90 (1999), 45–143. Zbl0983.14007MR1813224
  8. 8. N. E. Steenrod and D. B. Epstein, Cohomology operations, Princeton: Princeton Univ. Press, 1962. Zbl0102.38104MR145525
  9. 9. A. Suslin and V. Voevodsky, Bloch-Kato conjecture and motivic cohomology with finite coefficients, In The arithmetic and geometry of algebraic cycles, pp. 117–189, Kluwer, 2000. Zbl1005.19001MR1744945
  10. 10. V. Voevodsky, The Milnor Conjecture, www.math.uiuc.edu/K-theory/170, 1996. 
  11. 11. V. Voevodsky, Triangulated categories of motives over a field, In Cycles, transfers and motivic homology theories, Annals of Math Studies, pp. 188–238, Princeton: Princeton Univ. Press, 2000. Zbl1019.14009MR1764202
  12. 12. V. Voevodsky, Lectures on motivic cohomology 2000/2001 (written by P. Deligne), www.math.ias.edu/∼vladimir/rear.html, 2000/2001. Zbl1005.19001
  13. 13. V. Voevodsky, Cancellation theorem, www.math.uiuc.edu/K-theory/541, 2002. 
  14. 14. V. Voevodsky, Motivic cohomology groups are isomorphic to higher Chow groups in any characteristic, Int. Math. Res. Not. 7 (2002), 351–355. Zbl1057.14026MR1883180
  15. 15. V. Voevodsky, Motivic cohomology with Z/2-coefficients, Publ. Math. IHES (this volume), 2003. Zbl1057.14028MR2031199
  16. 16. V. Voevodsky, E. M. Friedlander, and A. Suslin, Cycles, transfers and motivic homology theories, Princeton: Princeton University Press, 2000. Zbl1021.14006MR1764197

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