Sausages
Danny Calegari
University of Chicago, Department of Mathematics, Eckhart Hall, 5734 S University Ave, Chicago IL, 60637, USA
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Abstract
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.