Comparison of cobordism theories

By M. Levine. 2008

54 citations recorded by the source corpus.

Relying on results of Hopkins–Morel, we show that, for X a quasi-projective variety over a field of characteristic zero, the canonical map Ωn(X)→MGL2n,n′(X) is an isomorphism.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/0a109017388af8edda6382a151f5be5ea6e97801

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. J. Hornbostel
2. Frédéric Déglise
3. Valentina Kiritchenko
4. Denis-Charles Cisinski
5. Tom Bachmann

In Mathematical Physics

1. J. Hornbostel
2. Frédéric Déglise
3. Valentina Kiritchenko
4. Denis-Charles Cisinski
5. Tom Bachmann

Citations in the corpus

• Around the Gysin triangle. II. (2007, result): “This point of view is precisely that of [Lev08a].”
• Schubert calculus for algebraic cobordism (2009, methodology): “We also have a morphism q : Ω∗(X)→ CH∗(X) which induces an isomorphism q′ : Ω∗(X)⊗LZ→ CH ∗(X) by Levine-Morel [14, Theorem 1.2.19] and corresponds to resolution of singularities [14, Section 4.5.1].”