• Danny Calegari

    University of Chicago, Department of Mathematics, Eckhart Hall, 5734 S University Ave, Chicago IL, 60637, USA
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The shift locus is the space of normalized polynomials in one complex variable for which every critical point is in the attracting basin of infinity. The method of sausages gives a (canonical) decomposition of the shift locus in each degree into (countably many) codimension 0 submanifolds, each of which is homeomorphic to a complex algebraic variety. In this paper we explain the method of sausages, and some of its consequences.