A universality theorem for Voevodsky's algebraic cobordism spectrum

Details A universality theorem for Voevodsky's algebraic cobordism spectrum A universality theorem for Voevodsky's algebraic cobordism spectrum

2007-09-26

arxiv.org/abs/0709.4116v1

Mathematics

Algebraic Geometry

LaTeX, 14 pages, uses XY-pic

Scientific paper

An algebraic version of a theorem due to Quillen is proved. More precisely, for a ground field k we consider the motivic stable homotopy category SH(k) of P^1-spectra equipped with the symmetric monoidal structure described in arXiv:0709.3905v1 [math.AG]. The algebraic cobordism P^1-spectrum MGL is considered as a commutative monoid equipped with a canonical orientation. For a commutative monoid E in the category SH(k) we identify the set of monoid homomorphisms from MGL to E in the motivic stable homotopy category with the set of all orientations of E. This result was stated originally in a slightly different form by G. Vezzosi in arXiv:math/0004050v2 [math.AG].

Affiliated with

Also associated with

No associations

Rating

A universality theorem for Voevodsky's algebraic cobordism spectrum does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A universality theorem for Voevodsky's algebraic cobordism spectrum, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A universality theorem for Voevodsky's algebraic cobordism spectrum will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-694716