Search Results - "Strickland, Neil P"
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1
Chromatic (co)homology of finite general linear groups
Published in Algebraic & geometric topology (01-01-2022)Get full text
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2
Chains on suspension spectra
Published in Algebraic & geometric topology (01-01-2009)Get full text
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3
The sigma orientation is an H∞ map
Published in American journal of mathematics (01-04-2004)“…In an earlier paper, the authors constructed a natural map, called the sigma orientation , from the Thom spectrum MU to any elliptic spectrum. MU is an H ∞…”
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4
Representation stability and outer automorphism groups
Published 12-02-2021“…In this paper we study families of representations of the outer automorphism groups indexed on a collection of finite groups $\mathcal{U}$. We encode this…”
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Finite subgroups of formal groups
Published in Journal of pure and applied algebra (25-09-1997)“…We discuss various moduli problems involving the classification of finite subgroups or related structures on formal groups of finite height n. We show that…”
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THE SIGMA ORIENTATION IS AN H^sub [infinity]^ MAP
Published in American journal of mathematics (01-04-2004)“…In an earlier paper, the authors constructed a natural map, called the sigma orientation, from the Thom spectrum MU[left angle bracket]6[right angle bracket]…”
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7
The Sigma Orientation Is an$H_\infty $Map
Published in American journal of mathematics (01-04-2004)“…In an earlier paper, the authors constructed a natural map, called the sigma orientation, from the Thorn spectrum MU$\left\langle 6 \right\rangle$to any…”
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8
Phantom maps and homology theories
Published in Topology (Oxford) (01-03-1998)“…We study phantom maps and homology theories in a stable homotopy category S via a certain Abelian category A . We express the group P ( X, Y) of phantom maps X…”
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Multicurves and equivariant cobordism
Published 04-11-2002“…Let A be a finite abelian group. We set up an algebraic framework for studying A-equivariant complex-orientable cohomology theories in terms of a suitable kind…”
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Rational morava e-theory and DSo
Published in Topology (Oxford) (1997)Get full text
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11
Formal schemes and formal groups
Published 17-11-2000“…We set up a framework for using algebraic geometry to study the generalised cohomology rings that occur in algebraic topology. This idea was probably first…”
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The BP cohomology of elementary abelian groups
Published 17-11-2000“…J. London Math. Soc. 61 (2000) 93-109 In this paper we study E^*BV_k, where E=BP<m,n> is a cohomology theory with coefficient ring F_p[v_m,...,v_n] (if m>0) or…”
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Products on MU-modules
Published 17-11-2000“…Trans Amer Math Soc 351 (1999) 2569-2606 We use the new categories of spectra and MU-modules constructed by Elmendorf, Kriz, Mandell and May to get improved…”
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K(n)-local duality for finite groups and groupoids
Published 16-11-2000“…Topology 39 no 4 (2000) 733-772 We define an inner product (suitably interpreted) on the K(n)-local spectrum LG := L_{K(n)}BG_+, where G is a finite group or…”
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15
Gross-Hopkins duality
Published 16-11-2000“…Topology 39 no 5 (2000) 1021-1033 We give a new and simpler proof of a result of Hopkins and Gross relating Brown-Comenetz duality to Spanier-Whitehead duality…”
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Chern approximations for generalised group cohomology
Published 16-06-1999“…Let G be a finite group, and let E be a generalised cohomology theory, subject to certain technical conditions. We study a certain ring C(E,G) that is the best…”
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Morava E-theory of symmetric groups
Published 28-01-1998“…We compute the completed E(n) cohomology of the classifying spaces of the symmetric groups, and relate the answer to the theory of finite subgroups of formal…”
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18
The Hopf Rings for KO and KU
Published 17-11-2000“…We compute the mod two homology Hopf rings of the spectra KO and KU. The spaces in these spectra are the infinite classical groups and their coset spaces, and…”
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The sigma orientation is an H-infinity map
Published 03-04-2002“…In "Elliptic spectra, the Witten genus, and the Theorem of the cube" (Invent. Math. 146 (2001)), the authors constructed a natural map from the Thom spectrum…”
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Phantom Maps and Homology Theories
Published 02-02-1998“…Topology 37 (1998), 339-364 We study phantom maps and homology theories in a stable homotopy category S via a certain Abelian category A. We express the group…”
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