Volume 19, issue 6 (2015)

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

Volume 28
Issue 5, 1995–2482
Issue 4, 1501–1993
Issue 3, 1005–1499
Issue 2, 497–1003
Issue 1, 1–496

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 Procedure
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1364-0380 (online)
ISSN 1465-3060 (print)
Author Index
To Appear
 
Other MSP Journals
$E_n$ genera

Steven Greg Chadwick and Michael A Mandell

Geometry & Topology 19 (2015) 3193–3232
Bibliography
1 J F Adams, Stable homotopy and generalised homology, University of Chicago Press (1974) MR0402720
2 M Ando, Isogenies of formal group laws and power operations in the cohomology theories $E_n$, Duke Math. J. 79 (1995) 423 MR1344767
3 M Ando, M J Hopkins, C Rezk, Multiplicative orientations of $KO$–theory and of the spectrum of topological modular forms, preprint (2010)
4 M Ando, M J Hopkins, N P Strickland, Elliptic spectra, the Witten genus and the theorem of the cube, Invent. Math. 146 (2001) 595 MR1869850
5 M Ando, M J Hopkins, N P Strickland, The sigma orientation is an $H_\infty$ map, Amer. J. Math. 126 (2004) 247 MR2045503
6 M Basterra, M A Mandell, Homology and cohomology of $E_\infty$ ring spectra, Math. Z. 249 (2005) 903 MR2126222
7 M Basterra, M A Mandell, Homology of $E_n$ ring spectra and iterated $THH$, Algebr. Geom. Topol. 11 (2011) 939 MR2782549
8 M Basterra, M A Mandell, The multiplication on BP, J. Topol. 6 (2013) 285 MR3065177
9 J M Boardman, R M Vogt, Homotopy-everything $H$–spaces, Bull. Amer. Math. Soc. 74 (1968) 1117 MR0236922
10 J M Boardman, R M Vogt, Homotopy invariant algebraic structures on topological spaces, Lecture Notes in Mathematics 347, Springer (1973) MR0420609
11 A K Bousfield, On the homology spectral sequence of a cosimplicial space, Amer. J. Math. 109 (1987) 361 MR882428
12 M Brun, Z Fiedorowicz, R M Vogt, On the multiplicative structure of topological Hochschild homology, Algebr. Geom. Topol. 7 (2007) 1633 MR2366174
13 S G Chadwick, Structured orientations of Thom spectra, PhD thesis, Indiana University (2012) MR3103696
14 P E Conner, E E Floyd, The relation of cobordism to $K$–theories, Lecture Notes in Mathematics 28, Springer (1966) MR0216511
15 A Dold, Chern classes in general cohomology, from: "Symposia Mathematica, Vol V", Academic Press (1971) 385 MR0276968
16 A D Elmendorf, I Kriz, M A Mandell, J P May, Rings, modules, and algebras in stable homotopy theory, Math. Surv. Monogr. 47, Amer. Math. Soc. (1997) MR1417719
17 A D Elmendorf, M A Mandell, Rings, modules, and algebras in infinite loop space theory, Adv. Math. 205 (2006) 163 MR2254311
18 F Hirzebruch, Neue topologische Methoden in der algebraischen Geometrie, Ergeb. Math. Grenzgeb. 9, Springer (1956) MR0082174
19 F Hirzebruch, Topological methods in algebraic geometry, Grund. der math. Wissenschaften 131, Springer (1978) MR1335917
20 N Johnson, J Noel, For complex orientations preserving power operations, $p$–typicality is atypical, Topology Appl. 157 (2010) 2271 MR2670503
21 L G Lewis Jr., J P May, M Steinberger, J E McClure, Equivariant stable homotopy theory, Lecture Notes in Mathematics 1213, Springer, Berlin (1986) MR866482
22 M A Mandell, $E_\infty$ algebras and $p$–adic homotopy theory, Topology 40 (2001) 43 MR1791268
23 M A Mandell, J P May, Equivariant orthogonal spectra and $S$–modules, Mem. Amer. Math. Soc. 755, Amer. Math. Soc. (2002) MR1922205
24 M A Mandell, J P May, S Schwede, B Shipley, Model categories of diagram spectra, Proc. London Math. Soc. 82 (2001) 441 MR1806878
25 J P May, The geometry of iterated loop spaces, Lectures Notes in Mathematics 271, Springer (1972) MR0420610
26 J P May, $E_{\infty }$ ring spaces and $E_{\infty }$ ring spectra, Lecture Notes in Mathematics 577, Springer (1977) 268 MR0494077
27 J P May, Multiplicative infinite loop space theory, J. Pure Appl. Algebra 26 (1982) 1 MR669843
28 S P Novikov, Homotopy properties of Thom complexes, Mat. Sb. 57 (99) (1962) 407 MR0157381
29 R S Palais, Seminar on the Atiyah–Singer index theorem, Annals of Mathematics Studies 57, Princeton Univ. Press (1965) MR0198494
30 R E Stong, Some remarks on symplectic cobordism, Ann. of Math. 86 (1967) 425 MR0219079
31 E Witten, Elliptic genera and quantum field theory, Comm. Math. Phys. 109 (1987) 525 MR885560