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math.DS2021
Sausages
Danny Calegari
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…
math.DS2021
Combinatorics of the Tautological Lamination
Danny Calegari
The Tautological Lamination arises in holomorphic dynamics as a combinatorial model for the geometry of 1-dimensional slices of the Shift Locus. In each degree the tautological…
math.DS2021
Sausages and Butcher Paper
Danny Calegari
For each the shift locus of degree , denoted , is the space of normalized degree polynomials in one complex variable for which every critical point is…