On the relation of Voevodsky’s algebraic cobordism to Quillen’s K-theory-Reference-Cited by-同舟云学术

On the relation of Voevodsky’s algebraic cobordism to Quillen’s K-theory

Published:2008-10-30 Issue:2 Volume:175 Page:435-451
ISSN:0020-9910
Container-title:Inventiones mathematicae
language:en
Short-container-title:Invent. math.

Author:

Panin Ivan,Pimenov Konstantin,Röndigs Oliver

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s00222-008-0155-5.pdf

Reference12 articles.

1. Lect. Notes Math.;P.E. Conner,1966

2. Levine, M., Morel, F.: Algebraic Cobordism. Springer Monograph Series in Mathematics. Springer, Berlin (2007)

3. Morel, F., Voevodsky, V.: A1-homotopy theory of schemes. Publ. Math., Inst. Hautes Étud. Sci. 90, 45–143 (1999)

4. Panin, I., Pimenov, K., Röndigs, O.: On Voevodsky’s algebraic K-theory spectrum. In: The Abel Symposium 2007. Proceedings of the fourth Abel Symposium, Oslo, Norway, August 5–10, 2007. Springer, Berlin. Preprint available via arXiv:0709.3905v2 [math.AG]

5. Panin, I., Pimenov, K., Röndigs, O.: A universality theorem for Voevodsky’s algebraic cobordism spectrum MGL. To appear in Homology Homotopy Appl. 10(2), (2008), 16 pp. Preprint available via arXiv:0709.4116v1 [math.AG]

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Chern-Dold character in complex cobordisms and theta divisors;Advances in Mathematics;2024-07

2. On the Riemann-Roch formula without projective hypotheses;Transactions of the American Mathematical Society;2020-11-03

3. On the Relation of Symplectic Algebraic Cobordism to Hermitian K-Theory;Proceedings of the Steklov Institute of Mathematics;2019-11

4. On Grothendieck’s Riemann–Roch theorem;Expositiones Mathematicae;2017-09

5. Motivic strict ring spectra representing semi-topological cohomology theories;Homology, Homotopy and Applications;2015