Algebraic Topology Barcelona 1986

Volume 1298 of the series Lecture Notes in Mathematics pp 17-34


Combinatorial and arithmetic identities based on formal group laws

  • Andrew BakerAffiliated withMathematics Department, Manchester University

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We define generalised Bernoulli and Stirling numbers based on a formal group law, and investigate some of their properties; in particular we give analogues of the classical "Kummer congruences". As a sample application we use these to compute some products and Massey products in the cohomology of a certain universal "Hopf algebroid", which arises in algebraic topology as the Adams-Novikov E2-term.

AMS Mathematics Subject Classification (1980)

Primary 14L05, 55N22 Secondary 10A40, 55T15