Geodesic
Modulo 2 counting of Klein-bottle leaves in smooth taut foliations
Zhang, Boyu1
1 Department of Mathematics, Harvard University, Cambridge, MA, United States
Algebraic and Geometric Topology, Tome 18 (2018) no. 5, pp. 2701-2727

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We prove a modulo 2 invariance for the number of Klein-bottle leaves in taut foliations. Given two smooth cooriented taut foliations, assume that every Klein-bottle leaf has nontrivial linear holonomy, and assume that the two foliations can be smoothly deformed to each other through taut foliations. We prove that the numbers of Klein-bottle leaves in these two foliations must have the same parity.

DOI : 10.2140/agt.2018.18.2701
Classification : 57M50, 57R30, 57R57
Keywords: taut foliations, $J$–holomorphic curves

Zhang, Boyu 1

1 Department of Mathematics, Harvard University, Cambridge, MA, United States 
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Zhang, Boyu. Modulo 2 counting of Klein-bottle leaves in smooth taut foliations. Algebraic and Geometric Topology, Tome 18 (2018) no. 5, pp. 2701-2727. doi: 10.2140/agt.2018.18.2701

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