The Baker-Richter spectrum as cobordism of quasitoric manifolds

Mathematics – Algebraic Topology

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A revision of a talk at the Queen's University (Belfast) conference [August 2011] on toric manifolds, http://toricmethodsbelfa

Scientific paper

Baker and Richter construct a remarkable $A_\infty$ ring-spectrum $M\Xi$
whose elements possess characteristic numbers associated to quasisymmetric
functions; its relations, on one hand to the theory of noncommutative formal
groups, and on the other to the theory of omnioriented (quasi)toric manifolds
[in the sense of Buchstaber, Panov, and Ray], seem worth investigating.

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