Geodesic
Adem relations in the Dyer–Lashof algebra and modular invariants
Kechagias, Nondas E1
1Department of Mathematics, University of Ioannina, 45110 Greece
Algebraic and Geometric Topology, Tome 4 (2004) no. 1, pp. 219-241
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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.

DOI : 10.2140/agt.2004.4.219
Keywords: Adem relations, Dyer–Lashof algebra, Dickson algebra, Borel invariants

Kechagias, Nondas E  1

1 Department of Mathematics, University of Ioannina, 45110 Greece 
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Kechagias, Nondas E. Adem relations in the Dyer–Lashof algebra and modular invariants. Algebraic and Geometric Topology, Tome 4 (2004) no. 1, pp. 219-241. doi: 10.2140/agt.2004.4.219

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