Algebraic & Geometric Topology Volume 17, issue 6 (2017)

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ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

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Gorenstein duality for real spectra

J P C Greenlees and Lennart Meier

Algebraic & Geometric Topology 17 (2017) 3547–3619

DOI: 10.2140/agt.2017.17.3547

Bibliography

1	D W Anderson, Universal coefficient theorems for K-theory, mimeographed notes (1969)
2	S Araki, Orientations in τ–cohomology theories, Japan. J. Math. 5 (1979) 403 MR614829
3	S Araki, M Murayama, τ–cohomology theories, Japan. J. Math. 4 (1978) 363 MR528864
4	M F Atiyah, K–theory and reality, Quart. J. Math. Oxford Ser. 17 (1966) 367 MR0206940
5	R Banerjee, On the ER(2)–cohomology of some odd-dimensional projective spaces, Topology Appl. 160 (2013) 1395 MR3072701
6	E H Brown Jr., M Comenetz, Pontrjagin duality for generalized homology and cohomology theories, Amer. J. Math. 98 (1976) 1 MR0405403
7	R R Bruner, J P C Greenlees, Connective real K–theory of finite groups, 169, Amer. Math. Soc. (2010) MR2723113
8	D Dugger, An Atiyah–Hirzebruch spectral sequence for KR–theory, K-Theory 35 (2005) 213 MR2240234
9	W G Dwyer, J P C Greenlees, S Iyengar, Duality in algebra and topology, Adv. Math. 200 (2006) 357 MR2200850
10	A D Elmendorf, I Kriz, M A Mandell, J P May, Rings, modules, and algebras in stable homotopy theory, 47, Amer. Math. Soc. (1997) MR1417719
11	J P C Greenlees, J P May, Completions in algebra and topology, from: "Handbook of algebraic topology" (editor I M James), North-Holland (1995) 255 MR1361892
12	J P C Greenlees, J P May, Generalized Tate cohomology, 543, Amer. Math. Soc. (1995) MR1230773
13	J P C Greenlees, V Stojanoska, Anderson and Gorenstein duality, preprint (2017) arXiv:1705.02664
14	D Heard, V Stojanoska, K–theory, reality, and duality, J. K-Theory 14 (2014) 526 MR3349325
15	M A Hill, The equivariant slice filtration: a primer, Homology Homotopy Appl. 14 (2012) 143 MR3007090
16	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
17	P Hu, On Real-oriented Johnson–Wilson cohomology, Algebr. Geom. Topol. 2 (2002) 937 MR1936976
18	P Hu, I Kriz, Real-oriented homotopy theory and an analogue of the Adams–Novikov spectral sequence, Topology 40 (2001) 317 MR1808224
19	P C Kainen, Universal coefficient theorems for generalized homology and stable cohomotopy, Pacific J. Math. 37 (1971) 397 MR0319198
20	N Kitchloo, W S Wilson, Unstable splittings for real spectra, Algebr. Geom. Topol. 13 (2013) 1053 MR3044602
21	N Kitchloo, W S Wilson, The ER(n)–cohomology of BO(q) and real Johnson–Wilson orientations for vector bundles, Bull. Lond. Math. Soc. 47 (2015) 835 MR3403965
22	P S Landweber, Conjugations on complex manifolds and equivariant homotopy of MU, Bull. Amer. Math. Soc. 74 (1968) 271 MR0222890
23	G Laures, M Olbermann, TMF₀(3)–characteristic classes for string bundles, Math. Z. 282 (2016) 511 MR3448393
24	V Lorman, The real Johnson–Wilson cohomology of ℂ‘ℙ^∞, Topology Appl. 209 (2016) 367 MR3523487
25	M A Mandell, J P May, Equivariant orthogonal spectra and S–modules, 755, Amer. Math. Soc. (2002) MR1922205
26	H R Margolis, Spectra and the Steenrod algebra, 29, North-Holland (1983) MR738973
27	L Meier, M A Hill, The C₂–spectrum Tmf₁(3) and its invertible modules, preprint (2015) arXiv:1507.08115
28	N Ricka, Equivariant Anderson duality and Mackey functor duality, Glasg. Math. J. 58 (2016) 649 MR3530492
29	S Schwede, Symmetric spectra, book draft (2012)
30	S Schwede, Lectures on equivariant stable homotopy theory, lecture notes (2016)
31	V Stojanoska, Duality for topological modular forms, Doc. Math. 17 (2012) 271 MR2946825
32	S M J Tilson, Power operations in the Künneth and C₂–equivariant Adams spectral sequences with applications, PhD thesis, Wayne State University (2013) MR3193087
33	S Tilson, Power operations in the Künneth spectral sequence and commutative H𝔽_p–algebras, preprint (2016) arXiv:1602.06736