Derived algebraic cobordism
Algebraic Geometry
2019-02-20 v2 Algebraic Topology
K-Theory and Homology
Abstract
We construct a cohomology theory using quasi-smooth derived schemes as generators and an analogue of the bordism relation using derived fibre products as relations. This theory has pull-backs along all morphisms between smooth schemes independent of any characteristic assumptions. We prove that in characteristic zero, the resulting theory agrees with algebraic cobordism as defined by Levine and Morel. We thus obtain a new set of generators and relations for algebraic cobordism.
Cite
@article{arxiv.1211.7023,
title = {Derived algebraic cobordism},
author = {Parker Lowrey and Timo Schürg},
journal= {arXiv preprint arXiv:1211.7023},
year = {2019}
}
Comments
Comments welcome. 35 pages; v2: Changes following referee's suggestions;to appear in JIMJ