Non-crossing partitions and Milnor fibers

Autor:	Brady, Thomas, Falk, Michael, Watt, Colum
Rok vydání:	2017
Předmět:	Mathematics - Group Theory Mathematics - Algebraic Topology 20F55 05E99
Zdroj:	Algebr. Geom. Topol. 18 (2018) 3821-3838
Druh dokumentu:	Working Paper
DOI:	10.2140/agt.2018.18.3821
Popis:	For a finite real reflection group $W$ we use non-crossing partitions of type $W$ to construct finite cell complexes with the homotopy type of the Milnor fiber of the associated $W$-discriminant $\Delta_W$ and that of the Milnor fiber of the defining polynomial of the associated reflection arrangement. These complexes support natural cyclic group actions realizing the geometric monodromy. Using the shellability of the non-crossing partition lattice, this cell complex yields a chain complex of homology groups computing the integral homology of the Milnor fiber of $\Delta_W$. Comment: 14 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1709.07811 Zobrazit plný text záznamu View this record from Arxiv