nLab John Greenlees

John Greenlees is professor for mathematics in Sheffield.

• website

Selected writings

On equivariant complex oriented cohomology theory and equivariant formal group laws:

• Michael Cole, John Greenlees, Igor Kriz, Equivariant Formal Group Laws, Proceedings of the LMS, Volume81, Issue2 (2000)(doi:10.1112/S0024611500012466)

• John Greenlees, The coefficient ring of equivariant homotopical bordism classifies equivariant formal group laws over Noetherian rings, 2001 (preprint)

• John Greenlees, Equivariant formal group laws and complex oriented cohomology theories, Homology Homotopy Appl. Volume 3, Number 2 (2001), 225-263 (euclid:hha/1139840255)

• John Greenlees, Multiplicative equivariant formal group laws, Journal of Pure and Applied Algebra Volume 165, Issue 2, 7 December 2001, Pages 183-200 (doi:10.1016/S0022-4049(00)00184-5)

• Michael Cole, John Greenlees, Igor Kriz, The universality of equivariant complex bordism, Math Z 239, 455–475 (2002) (doi:10.1007/s002090100315)

On equivariant K-theory and KR-theory for finite equivariance groups:

• Robert Bruner, John Greenlees, Connective Real K-Theory of Finite Groups, Mathematical Surveys and Monographs 169 AMS 2010 (ISBN:978-0-8218-5189-0)

On equivariant elliptic genera in equivariant elliptic cohomology:

• Matthew Ando, John Greenlees, Circle-equivariant classifying spaces and the rational equivariant sigma genus, Math. Z. 269, 1021–1104 (2011) (arXiv:0705.2687, doi:10.1007/s00209-010-0773-7)

On rational equivariant stable homotopy theory for $G=$ Sp(2):

• John Greenlees: Rational $Sp(2)$-equivariant cohomology theories I: dominant subgroups [arXiv:2604.25005]

Related entries

• equivariant stable homotopy theory

• rational equivariant stable homotopy theory

category: people