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Adem relations in the Dyer-Lashof algebra and modular invariants | | Nondas E. Kechagias
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22 Apr 2004 | | Journal: | Algebraic and Geometric Topology 4 (2004) 219-241 | | Subject: | Algebraic Topology MSC-class: 55S10, 13F20, 55P10 | math.AT | | 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. | | Source: | arXiv, math.AT/0404411 | | Services: | Forum | Review | PDF | Favorites | |
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