Pair-of-pants decompositions of 4-manifolds diffeomorphic to general type hypersurfaces

2021/02/19 by Yuguang Zhang, Zhang, Yuguang
Mathematics · #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2102.10037

openalex publication_date 2021/02/19 · openalex created_date 2021/03/01 · openalex updated_date 2026/07/28

Abstract

In this paper, we show that a smooth 4-manifold diffeomorphic to a complex hypersurface in \mathbbCP³ of degree d≥ 5 can be decomposed as the union of d(d-4)² copies of 4-dimensional pair-of-pants and certain subsets of K3 surfaces.

Citations

• Symplectic manifolds and their lagrangian submanifolds

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