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2004 Adem relations in the Dyer–Lashof algebra and modular invariants
Nondas E Kechagias
Algebr. Geom. Topol. 4(1): 219-241 (2004). DOI: 10.2140/agt.2004.4.219

Abstract

This work deals with Adem relations in the Dyer–Lashof algebra from a modular invariant point of view. The main result is to provide an algorithm which has two effects: Firstly, to calculate the hom-dual of an element in the Dyer–Lashof algebra; and secondly, to find the image of a non-admissible element after applying Adem relations. The advantage of our method is that one has to deal with polynomials instead of homology operations. A moderate explanation of the complexity of Adem relations is given.

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Nondas E Kechagias. "Adem relations in the Dyer–Lashof algebra and modular invariants." Algebr. Geom. Topol. 4 (1) 219 - 241, 2004. https://doi.org/10.2140/agt.2004.4.219

Information

Received: 23 October 2003; Revised: 20 January 2004; Accepted: 23 January 2004; Published: 2004
First available in Project Euclid: 21 December 2017

zbMATH: 1058.55007
MathSciNet: MR2059190
Digital Object Identifier: 10.2140/agt.2004.4.219

Subjects:
Primary: 13F20, 55S10
Secondary: 55P10

Rights: Copyright © 2004 Mathematical Sciences Publishers

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Vol.4 • No. 1 • 2004
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