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Pair-of-Pants Decompositions of 4-Manifolds Diffeomorphic to General Type Hypersurfaces

Pair-of-Pants Decompositions of 4-Manifolds Diffeomorphic to General Type Hypersurfaces

Year:    2025

Author:    Yuguang Zhang

Journal of Mathematical Study, Vol. 58 (2025), Iss. 2 : pp. 211–252

Abstract

In this paper, we show that a smooth 4-manifold diffeomorphic to a complex hypersurface in $\mathbb{CP}^3$ 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 ${\rm K3}$ surfaces.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jms.v58n2.25.06

Journal of Mathematical Study, Vol. 58 (2025), Iss. 2 : pp. 211–252

Published online:    2025-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    42

Keywords:    Pair-of-pants decompositions general type hypersurfaces.

Author Details

Yuguang Zhang