Catherine Pfaff – Stratifying the Set of Fully Irreducible Elements of Out(F_r)

Date/heure
Date(s) - 24/05/2013
11 h 00 min - 12 h 30 min

Catégories Pas de Catégories

$By\; proving\; precisely\; which\; singularity\; index\; lists\; arise\; from\; the\; pair\; of\; invariant\; foliations\; for\; a\; pseudo-Anosov\; surface\; homeomorphism,\; Masur\; and\; Smillie\; determined\; a\; Teichmuller\; flow\; invariant\; stratification\; of\; the\; space\; of\; quadratic\; differentials.\; We\; give\; a\; first\; step\; to\; an\; \$Out(F\_r)\$\; analog\; of\; the\; Masur-Smillie\; theorem.\; Since\; the\; ideal\; Whitehead\; graphs\; defined\; by\; Handel\; and\; Mosher\; give\; a\; strictly\; finer\; invariant\; in\; the\; analogous\; \$Out(F\_r)\$\; setting\; of\; a\; fully\; irreducible\; outer\; automorphism,\; we\; determined\; which\; of\; the\; twenty-one\; connected,\; simplicial,\; five-vertex\; graphs\; are\; ideal\; Whitehead\; graphs\; of\; fully\; irreducible\; outer\; automorphisms\; in\; \$Out(F\_3)\$.$