Download this article
Download this article For screen
For printing
Recent Issues

Volume 28, 1 issue

Volume 27, 9 issues

Volume 26, 8 issues

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Interests
Editorial Procedure
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
Author Index
To Appear
 
Other MSP Journals
Odd primary analogs of real orientations

Jeremy Hahn, Andrew Senger and Dylan Wilson

Geometry & Topology 27 (2023) 87–129
Bibliography
1 G Almkvist, R Fossum, Decomposition of exterior and symmetric powers of indecomposable Z∕pZ–modules in characteristic p and relations to invariants, from: "Séminaire d’Algèbre Paul Dubreil, 30ème année" (editor M Malliavin), Lecture Notes in Math. 641, Springer (1978) 1 MR499459
2 S Araki, M Murayama, τ–cohomology theories, Japan. J. Math. 4 (1978) 363 MR528864
3 A Beaudry, I Bobkova, M Hill, V Stojanoska, Invertible K(2)–local E–modules in C4–spectra, Algebr. Geom. Topol. 20 (2020) 3423 MR4194286
4 A Beaudry, M A Hill, X D Shi, M Zeng, Models of Lubin–Tate spectra via real bordism theory, Adv. Math. 392 (2021) MR4313964
5 P Bhattacharya, H Chatham, On the EO–orientability of vector bundles, preprint (2020) arXiv:2003.03795
6 P G Goerss, M J Hopkins, Moduli spaces of commutative ring spectra, from: "Structured ring spectra" (editors A Baker, B Richter), London Math. Soc. Lecture Note Ser. 315, Cambridge Univ. Press (2004) 151 MR2125040
7 V Gorbounov, M Mahowald, Formal completion of the Jacobians of plane curves and higher real K–theories, J. Pure Appl. Algebra 145 (2000) 293 MR1733427
8 J P C Greenlees, L Meier, Gorenstein duality for real spectra, Algebr. Geom. Topol. 17 (2017) 3547 MR3709655
9 J Hahn, X D Shi, Real orientations of Lubin–Tate spectra, Invent. Math. 221 (2020) 731 MR4132956
10 D Heard, G Li, X D Shi, Picard groups and duality for real Morava E–theories, Algebr. Geom. Topol. 21 (2021) 2703 MR4344869
11 D Heard, A Mathew, V Stojanoska, Picard groups of higher real K–theory spectra at height p 1, Compos. Math. 153 (2017) 1820 MR3705278
12 M A Hill, Computational methods for higher real K–theory with applications to tmf, PhD thesis, Massachusetts Institute of Technology (2006) MR2717334
13 M A Hill, Freeness and equivariant stable homotopy, J. Topol. 15 (2022) 359 MR4413504
14 M A Hill, M J Hopkins, Equivariant symmetric monoidal structures, preprint (2016) arXiv:1610.03114
15 M A Hill, M J Hopkins, Real Wilson spaces, I, preprint (2018) arXiv:1806.11033
16 M A Hill, M J Hopkins, D C Ravenel, On the 3–primary Arf–Kervaire invariant problem, unpublished note (2011)
17 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
18 M Hill, T Lawson, Topological modular forms with level structure, Invent. Math. 203 (2016) 359 MR3455154
19 M A Hill, L Meier, The C2–spectrum Tmf1(3) and its invertible modules, Algebr. Geom. Topol. 17 (2017) 1953 MR3685599
20 M A Hill, X D Shi, G Wang, Z Xu, The slice spectral sequence of a C4–equivariant height-4 Lubin–Tate theory, preprint (2018) arXiv:1811.07960
21 M A Hill, C Yarnall, A new formulation of the equivariant slice filtration with applications to Cp–slices, Proc. Amer. Math. Soc. 146 (2018) 3605 MR3803684
22 P Hu, I Kriz, Real-oriented homotopy theory and an analogue of the Adams–Novikov spectral sequence, Topology 40 (2001) 317 MR1808224
23 N Kitchloo, V Lorman, W S Wilson, Landweber flat real pairs and ER(n)–cohomology, Adv. Math. 322 (2017) 60 MR3720793
24 T Y Lam, A first course in noncommutative rings, 131, Springer (2001) MR1838439
25 G Li, V Lorman, J D Quigley, Tate blueshift and vanishing for real oriented cohomology theories, Adv. Math. 411 (2022) MR4512401
26 G Li, X D Shi, G Wang, Z Xu, Hurewicz images of real bordism theory and real Johnson–Wilson theories, Adv. Math. 342 (2019) 67 MR3877362
27 J Lurie, Elliptic cohomology, II : Orientations, preprint (2018)
28 L Meier, X D Shi, M Zeng, The localized slice spectral sequence, norms of Real bordism, and the Segal conjecture, Adv. Math. 412 (2023) MR4517348
29 J Milnor, On the cobordism ring Ω and a complex analogue, I, Amer. J. Math. 82 (1960) 505 MR119209
30 J Morava, Forms of K–theory, Math. Z. 201 (1989) 401 MR999737
31 R E Mosher, Some stable homotopy of complex projective space, Topology 7 (1968) 179 MR227985
32 L S Nave, The Smith–Toda complex V ((p + 1)2) does not exist, Ann. of Math. 171 (2010) 491 MR2630045
33 W Pitsch, N Ricka, J Scherer, Conjugation spaces are cohomologically pure, Proc. Lond. Math. Soc. 123 (2021) 313 MR4311118
34 D Quillen, On the formal group laws of unoriented and complex cobordism theory, Bull. Amer. Math. Soc. 75 (1969) 1293 MR253350
35 D C Ravenel, The nonexistence of odd primary Arf invariant elements in stable homotopy, Math. Proc. Cambridge Philos. Soc. 83 (1978) 429 MR474291
36 J P Serre, Local class field theory, from: "Algebraic Number Theory" (editors J W S Cassels, A Fröhlich), Thompson (1967) 128 MR0220701
37 J H Silverman, The arithmetic of elliptic curves, 106, Springer (2009) MR2514094
38 V Stojanoska, Duality for topological modular forms, Doc. Math. 17 (2012) 271 MR2946825
39 D Wilson, Equivariant, parameterized, and chromatic homotopy theory, PhD thesis, Northwestern University (2017) MR3697718
40 D Wilson, On categories of slices, preprint (2017) arXiv:1711.03472