Algebraic & Geometric Topology Volume 17, issue 2 (2017)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

Submission form

Editorial board

Subscriptions

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Author index

To appear

Other MSP journals

On $\mathop{\mathrm{RO}}(G)$–graded equivariant “ordinary” cohomology where $G$ is a power of $\mathbb{Z}/2$

John Holler and Igor Kriz

Algebraic & Geometric Topology 17 (2017) 741–763

DOI: 10.2140/agt.2017.17.741

Bibliography

1	W C Abram, I Kriz, The equivariant complex cobordism ring of a finite abelian group, Math. Res. Lett. 22 (2015) 1573 MR3507250
2	S Araki, M Murayama, τ–cohomology theories, Japan. J. Math. 4 (1978) 363 MR528864
3	M F Atiyah, K–theory and reality, Quart. J. Math. Oxford Ser. 17 (1966) 367 MR0206940
4	M F Atiyah, I M Singer, The index of elliptic operators, I, Ann. of Math. 87 (1968) 484 MR0236950
5	G E Bredon, Equivariant cohomology theories, 34, Springer (1967) MR0214062
6	T tom Dieck, Bordism of G–manifolds and integrality theorems, Topology 9 (1970) 345 MR0266241
7	P Donovan, M Karoubi, Graded Brauer groups and K–theory with local coefficients, Inst. Hautes Études Sci. Publ. Math. 38 (1970) 5 MR0282363
8	A W M Dress, Notes on the theory of representations of finite groups, I : The Burnside ring of a finite group and some AGN-applications, Universität Bielefeld, Fakultät für Mathematik (1971) MR0360771
9	D S Freed, M J Hopkins, C Teleman, Loop groups and twisted K–theory, I, J. Topol. 4 (2011) 737 MR2860342
10	J P C Greenlees, Adams spectral sequences in equivariant topology, PhD thesis, University of Cambridge (1985)
11	J P C Greenlees, J P May, Equivariant stable homotopy theory, from: "Handbook of algebraic topology" (editor I M James), North-Holland (1995) 277 MR1361893
12	M A Hill, M J Hopkins, D C Ravenel, On the nonexistence of elements of Kervaire invariant one, Ann. of Math. 184 (2016) 1 MR3505179
13	P Hu, I Kriz, Real-oriented homotopy theory and an analogue of the Adams–Novikov spectral sequence, Topology 40 (2001) 317 MR1808224
14	P Hu, I Kriz, Coefficients of the constant Mackey functor over cyclic p–groups, preprint (2010)
15	P Hu, I Kriz, Topological Hermitian cobordism, J. Homotopy Relat. Struct. 11 (2016) 173 MR3511818
16	P Hu, I Kriz, K Ormsby, The homotopy limit problem for Hermitian K–theory, equivariant motivic homotopy theory and motivic Real cobordism, Adv. Math. 228 (2011) 434 MR2822236
17	I Kriz, The ℤ∕p–equivariant complex cobordism ring, from: "Homotopy invariant algebraic structures" (editors J P Meyer, J Morava, W S Wilson), Contemp. Math. 239, Amer. Math. Soc. (1999) 217 MR1718082
18	S Kriz, Equivariant cohomology and the super reciprocal plane of a hyperplane arrangement, preprint (2015)
19	P S Landweber, Conjugations on complex manifolds and equivariant homotopy of MU, Bull. Amer. Math. Soc. 74 (1968) 271 MR0222890
20	G Lewis, J P May, J McClure, Ordinary RO(G)–graded cohomology, Bull. Amer. Math. Soc. 4 (1981) 208 MR598689
21	L G Lewis Jr., The RO(G)–graded equivariant ordinary cohomology of complex projective spaces with linear ℤ∕p actions, from: "Algebraic topology and transformation groups" (editor T tom Dieck), Lecture Notes in Math. 1361, Springer (1988) 53 MR979507
22	L G Lewis Jr., J P May, M Steinberger, J E McClure, Equivariant stable homotopy theory, 1213, Springer (1986) MR866482
23	N Proudfoot, D Speyer, A broken circuit ring, Beiträge Algebra Geom. 47 (2006) 161 MR2246531
24	H Terao, Algebras generated by reciprocals of linear forms, J. Algebra 250 (2002) 549 MR1899865