Publications and Preprints of J.P.C.Greenlees
[1]J.P.C.Greenlees "Functional duals and Moore spectra", Bulletin of the Londo*
*n Mathematical Society
17 (1985), 43-48.
[2]J.P.C.Greenlees "Representing Tate cohomology of G-spaces", Proceedings of *
*the Edinburgh Mathe-
matical Society 30 (1987), 435-443
[3]J.P.C.Greenlees "How blind is your favourite cohomology theory?", Expositio*
*nes Mathematicae, 6
(1988), 193-208.
[4]J.P.C.Greenlees "Stable maps into free G-spaces", Transactions of the Ameri*
*can Mathematical Society,
310 (1988), 199-215.
[5]J.P.C.Greenlees "Topological methods in equivariant cohomology", Proceeding*
*s of the 1987 Singapore
Group Theory Conference, W. de Gruyter, (1989), 373-389.
[6]J.P.C.Greenlees "Equivariant functional duals and universal spaces", Journa*
*l of the London Mathe-
matical Society, 40 (1989), 347-354.
[7]J.P.C.Greenlees "The power of mod p Borel homology", Proceedings of the 198*
*8 Kinosaki conference
on homotopy theory and related topics. Lecture notes in maths. 1418 Springe*
*r-Verlag (1990), 140-151.
[8]J.P.C.Greenlees "Equivariant functional duals and completions", Bull. Londo*
*n Math. Soc. 23 (1991),
163-168.
[9]J.P.C.Greenlees and J.P. May "Completions of G-spectra at ideals of the Bur*
*nside ring" Proc. Adams
Memorial Conference II, Cambridge University Press (1992) 145-178.
[10]J.P.C.Greenlees and J.P. May "Some remarks on the structure of Mackey funct*
*ors" Proc. American
Math. Soc., 395 (1992) 237-243.
[11]J.P.C.Greenlees and J.P. May "Derived functors of I-adic completion and loc*
*al homology" Journal of
Algebra 149 (1992) 438-453.
[12]J.P.C.Greenlees "Homotopy equivariance, strict equivariance and induction t*
*heory" Proc. Edinburgh
Math. Soc. 35 (1992) 473-492.
[13]J.P.C.Greenlees "Generalised Eilenberg-Moore spectral sequences for element*
*ary abelian groups and
tori", Proc. Camb. Phil. Soc., 112 (1992) 77-89.
[14]J.P.C.Greenlees "Some remarks on projective Mackey functors", J. Pure and A*
*pplied Algebra, 81
(1992) 17-38.
[15]D.J. Benson and J.P.C.Greenlees "The action of the Steenrod algebra on Tate*
* cohomology" J. Pure
and Applied Algebra, 85 (1993) 21-26.
[16]J.P.C.Greenlees "K-homology of universal spaces and local cohomology of the*
* representation ring"
Topology 32 (1993) 295-308.
[17]T. Bier and J.P.C.Greenlees "The lattice spanned by the cosets of subgroups*
* in a finite group." J.
London Math. Soc. 47 (1993) 433-449.
[18]J.P.C.Greenlees "The geometric equivariant Segal conjecture for toral group*
*s." J. London Math. Soc.,
48 (1993) 348-364.
[19]A.D.Elmendorf, J.P.C.Greenlees, I.Kriz and J.P.May "Commutative algebra in *
*stable homotopy theory
and a completion theorem." Mathematical Research Letters 1 (1994) 225-239.
[20]J.P.C.Greenlees "Tate cohomology in commutative algebra." J. Pure and Appli*
*ed Algebra 94 (1994)
59-83
[21]J.P.C.Greenlees and J.P. May "Generalized Tate cohomology" Memoirs of the A*
*merican Maths. Soc.,
543 (1995) 178pp.
[22]J.P.C.Greenlees "Commutative algebra in group cohomology." J.Pure and Appli*
*ed Algebra 98 (1995)
151-162
[23]J.P.C.Greenlees and J.P.May "Completions in algebra and topology" Handbook *
*of Topology (ed.
I.M.James) North Holland (1995) 255-276.
[24]J.P.C.Greenlees and J.P.May "Equivariant stable homotopy theory." Handbook *
*of Topology (ed.
I.M.James) North Holland (1995) 277-323.
[25]R.Bruner and J.P.C.Greenlees "The algebraic Bredon-L"offler conjecture." Ex*
*perimental Mathematics
4 (1995) 289-297.
[26]J.P.C.Greenlees "A rational splitting theorem for the universal space for a*
*lmost free actions." Bull.
London Math. Soc. 28 (1996) 183-189.
[27]J.P.C.Greenlees and H. Sadofsky "The Tate spectrum of vn-periodic complex o*
*riented theories." Math.
Zeits. 222 (1996) 391-405.
[28]J.P.C.Greenlees "An introduction to equivariant K-theory." CBMS Regional Co*
*nference Series 91
American Math. Soc. (1996) 143-152.
[29]J.P.C.Greenlees and J.P.May "Examples of Tate cohomology." CBMS Regional Co*
*nference Series 91
American Math. Soc. (1996) 231-245.
1
2
[30]J.P.C.Greenlees and J.P.May "Brave new equivariant algebra." CBMS Regional*
* Conference Series 91
American Math. Soc. (1996) 299-314.
[31]J.P.C.Greenlees and J.P.May "Localization and completion in complex bordis*
*m." CBMS Regional
Conference Series 91 American Math. Soc. (1996) 315-326.
[32]J.P.C.Greenlees and J.A.Perez "Connected Lie groups that act freely on a p*
*roduct of spheres." Bull.
London Math. Soc. 28 (1996) 634-642.
[33]D.J.Benson and J.P.C.Greenlees "Commutative algebra for cohomology rings o*
*f classifying spaces of
virtual duality groups." J.Algebra 192 (1997) 678-700.
[34]D.J.Benson and J.P.C.Greenlees "Commutative algebra for cohomology rings o*
*f classifying spaces of
compact Lie groups." J. Pure and Applied Algebra 122 (1997) 41-53.
[35]J.P.C.Greenlees and H.Sadofsky "Tate cohomology of theories with one-dimen*
*sional coefficient ring."
Topology 37 (1998) 279-292.
[36]J.P.C.Greenlees and J.P.May "Localization and completion theorems for MU-m*
*odule spectra." Annals
of Maths. 146 (1997) 509-544
[37]J.P.C.Greenlees "Rational Mackey functors for compact Lie groups I" Proc. *
*London Math. Soc 76
(1998) 549-578
[38]J.P.C.Greenlees "Augmentation ideals of equivariant cohomology rings." Top*
*ology 37 (1998) 1313-1323
[39]J.P.C.Greenlees "Rational O(2)-equivariant cohomology theories." Fields In*
*stitute Communications
19 (1998) 103-110
[40]J.P.C.Greenlees "Rational S1-equivariant stable homotopy theory." Mem. Ame*
*rican Math. Soc. 661
(Vol 138) (1999) vii+289 pp.
[41]J.P.C.Greenlees "Equivariant forms of connective K-theory." Topology 38 (1*
*999) 1075-1092.
[42]J.P.C.Greenlees and N.P.Strickland "Varieties and local cohomology for chr*
*omatic group cohomology
rings." Topology 38 (1999) 1093-1139.
[43]J.P.C.Greenlees and G.Lyubeznik "Rings with a local cohomology theorem and*
* applications to coho-
mology rings of groups." J. Pure and Applied Algebra 149 (2000) 267-285.
[44]M.M.Cole, J.P.C.Greenlees and I. Kriz "Equivariant formal group laws." Pro*
*c. London Math. Soc 81
(2000) 355-386.
Accepted for publication:
[45]M.M.Cole, J.P.C.Greenlees and I. Kriz "Universality of equivariant bordism*
*." Math. Z. (to appear)
16pp
[46]J.P.C.Greenlees "Multiplicative equivariant formal group laws." J. Pure an*
*d Applied Algebra (to ap-
pear) 20pp.
[47]J.P.C.Greenlees "Rational SO(3)-equivariant cohomology theories." Proc Bou*
*lder Proceedings (to
appear) 19pp
ON THE WAY TO PUBLICATION
Submitted for publication:
[1s] J.P.C.Greenlees "Tate cohomology in axiomatic stable homotopy theory" Prep*
*rint 16pp.
[2s] J.P.C.Greenlees, M.J.Hopkins and I. Rosu "Rational S1-equivariant elliptic*
* cohomology." Preprint
(1999) 23pp.
[3s] W.G.Dwyer and J.P.C.Greenlees "The equivalence of categories of complete a*
*nd torsion modules."
Preprint (1999) 20pp
[4s] J.P.C.Greenlees "Local cohomology in equivariant topology." Preprint (2000*
*) 30pp
Preprints:
[1p] J.P.C.Greenlees "Equivariant formal groups over tame rings." Preprint (199*
*9) 15pp.
[2p] R.R.Bruner and J.P.C.Greenlees "The connective K-theory of finite groups."*
* Preprint (1998) 124pp.
[3p] J.P.C.Greenlees "Rational torus equivariant cohomology theories I: the sta*
*ndard model." Preprint
(2000) (20pp)
In preparation:
[4p] J.P.C.Greenlees "The coefficient ring of equivariant homotopical bordism i*
*s the universal ring for
equivariant formal group laws." (1998) 18pp
[5p] J.P.C.Greenlees "Rational Mackey functors for compact Lie groups II" 17pp.
[6p] J.P.C.Greenlees "Rational torus equivariant cohomology theories II: Adams *
*spectral sequences." (10pp)
3
[7p] J.P.C.Greenlees and B.E.Shipley "Rational torus equivariant cohomology the*
*ories III: Quillen equiva-
lence with the standard model." Preprint (1999) 8pp
[8p] J.P.C.Greenlees "Equivariant connective K theory for compact Lie groups" (*
*In preparation) 10pp
[9p] W.G.Dwyer, J.P.C.Greenlees and S.B.Iyengar "Gorenstein conditions in algeb*
*ra and topology." (In
preparation) 14pp
Inactive preprints:
[1i] J.P.C.Greenlees "Groups and Spheres: a road from the PA Smith theorem" (19*
*92) 13pp.
[2i] J.P.C.Greenlees "A remark on local cohomology for non-Noetherian rings" (1*
*992) 5pp.
THESIS
[1t.]J.P.C.Greenlees "Adams Spectral Sequences in equivariant topology", Thesis*
*, Cambridge University
(1985), 381pp.
JPCG
September 2000