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Article Dans Une Revue Canadian Journal of Mathematics Année : 2020

Torsions and intersection forms of 4-manifolds from trisection diagrams

Résumé

Gay and Kirby introduced trisections, which describe any closed, oriented, smooth 4-manifold X as a union of three 4-dimensional handlebodies. A trisection is encoded in a diagram, namely three collections of curves in a closed oriented surface S , guiding the gluing of the handlebodies. Any morphism f from the fundamental group of X to a finitely generated free abelian group induces a morphism on the fundamental group of S . We express the twisted homology and Reidemeister torsion of (X;f) in terms of the first homology of (S;f) and the three subspaces generated by the collections of curves. We also express the intersection form of (X;f) in terms of the intersection form of (S;f).

Dates et versions

hal-03485410 , version 1 (17-12-2021)

Identifiants

Citer

Vincent Florens, Delphine Moussard. Torsions and intersection forms of 4-manifolds from trisection diagrams. Canadian Journal of Mathematics, 2020, pp.1-23. ⟨10.4153/S0008414X20000863⟩. ⟨hal-03485410⟩
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