English

The evenness conjecture in equivariant unitary bordism

Algebraic Topology 2018-09-05 v2

Abstract

The evenness conjecture for the equivariant unitary bordism groups states that these bordism groups are free modules over the unitary bordism ring on even-dimensional generators. In this paper we review the cases in which the conjecture is known to hold and we highlight the properties that permit one to prove the conjecture in these cases.

Keywords

Cite

@article{arxiv.1807.02446,
  title  = {The evenness conjecture in equivariant unitary bordism},
  author = {Bernardo Uribe},
  journal= {arXiv preprint arXiv:1807.02446},
  year   = {2018}
}

Comments

First version to appear in the proceedings of the ICM 2018. The second version has some improvements in the presentation. In particular in section 3.1 the presentation of the induction argument is improved

R2 v1 2026-06-23T02:53:04.253Z