This paper investigates the relation between Toda brackets and congruences of modular forms. It determines the f–invariant of Toda brackets and thereby generalizes the formulas of J F Adams for the classical e–invariant to the chromatic second filtration.
Laures, Gerd  1
@article{10_2140_agt_2011_11_1893,
author = {Laures, Gerd},
title = {Toda brackets and congruences of modular forms},
journal = {Algebraic and Geometric Topology},
pages = {1893--1914},
year = {2011},
volume = {11},
number = {4},
doi = {10.2140/agt.2011.11.1893},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2011.11.1893/}
}
Laures, Gerd. Toda brackets and congruences of modular forms. Algebraic and Geometric Topology, Tome 11 (2011) no. 4, pp. 1893-1914. doi: 10.2140/agt.2011.11.1893
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