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Abstract: This note explores the interaction between cohomology operations in ageneralized cohomology theory and a string topology loop coproduct dual to theChas-Sullivan loop product. More precisely, we ask for a description for thefailure of a given operation to commute with the loop coproduct, and willobtain a satisfactory answer in the case where the operation preserves bothsums and products. Examples of such operations include the total Steenrodsquare in ordinary mod 2 cohomology and the Adams operations in K-theory.



Author: Anssi Lahtinen

Source: https://arxiv.org/







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