Algebraic & Geometric Topology Volume 15, issue 5 (2015)

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The Morava $K$–theory of $BO(q)$ and $MO(q)$

Nitu Kitchloo and W Stephen Wilson

Algebraic & Geometric Topology 15 (2015) 3047–3056

DOI: 10.2140/agt.2015.15.3049

Bibliography

1	N Kitchloo, G Laures, W S Wilson, The Morava $K$–theory of spaces related to $\mathit{BO}$, Adv. Math. 189 (2004) 192 MR2093483
2	N Kitchloo, W S Wilson, The $\mathit{ER}(n)$–cohomology of $\mathit{BO}(q)$ and real Johnson–Wilson orientations for vector bundles, Bull. London Soc. Math. 47 (2015) 835
3	A Kono, N Yagita, Brown–Peterson and ordinary cohomology theories of classifying spaces for compact Lie groups, Trans. Amer. Math. Soc. 339 (1993) 781 MR1139493
4	I Kriz, Morava $K$–theory of classifying spaces: Some calculations, Topology 36 (1997) 1247 MR1452850
5	P S Landweber, Homological properties of comodules over $M\mathrm{U}_\ast (M\mathrm{U})$ and BP$_\ast $(BP), Amer. J. Math. 98 (1976) 591 MR0423332
6	S A Mitchell, S B Priddy, A double coset formula for Levi subgroups and splitting $B\mathrm{GL}_n$, from: "Algebraic topology" (editors G Carlsson, R L Cohen, H R Miller, D C Ravenel), Lecture Notes in Math. 1370, Springer (1989) 325 MR1000386
7	D C Ravenel, W S Wilson, N Yagita, Brown–Peterson cohomology from Morava $K$–theory, $K$–Theory 15 (1998) 147 MR1648284
8	B Totaro, The Chow ring of a classifying space, from: "Algebraic $K$–theory" (editors W Raskind, C Weibel), Proc. Sympos. Pure Math. 67, Amer. Math. Soc. (1999) 249 MR1743244
9	W S Wilson, The complex cobordism of $B\mathrm{O}_{n}$, J. London Math. Soc. 29 (1984) 352 MR744106
10	N Yagita, Coniveau filtration of cohomology of groups, Proc. Lond. Math. Soc. 101 (2010) 179 MR2661245