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

Yuguang Zhang

doi:10.4208/jms.v58n2.25.06

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

Yuguang Zhang

Department of Pure Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we show that a smooth 4-manifold diffeomorphic to a complex hypersurface in 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 K3 surfaces.

Original language	English
Pages (from-to)	211-252
Number of pages	42
Journal	Journal of Mathematical Study
Volume	58
Issue number	2
DOIs	https://doi.org/10.4208/jms.v58n2.25.06
Publication status	Published - 25 Jun 2025

Keywords

Pair-of-pants decompositions
general type hypersurfaces

Access to Document

10.4208/jms.v58n2.25.06

Cite this

@article{deb3d7de3f254b1f9796cdfea04c7454,

title = "Pair-of-Pants Decompositions of 4-Manifolds Diffeomorphic to General Type Hypersurfaces",

abstract = "In this paper, we show that a smooth 4-manifold diffeomorphic to a complex hypersurface in 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 K3 surfaces.",

keywords = "Pair-of-pants decompositions, general type hypersurfaces",

author = "Yuguang Zhang",

year = "2025",

month = jun,

day = "25",

doi = "10.4208/jms.v58n2.25.06",

language = "English",

volume = "58",

pages = "211--252",

journal = " Journal of Mathematical Study",

issn = "2096-9856",

number = "2",

}

TY - JOUR

T1 - Pair-of-Pants Decompositions of 4-Manifolds Diffeomorphic to General Type Hypersurfaces

AU - Zhang, Yuguang

PY - 2025/6/25

Y1 - 2025/6/25

N2 - In this paper, we show that a smooth 4-manifold diffeomorphic to a complex hypersurface in 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 K3 surfaces.

AB - In this paper, we show that a smooth 4-manifold diffeomorphic to a complex hypersurface in 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 K3 surfaces.

KW - Pair-of-pants decompositions

KW - general type hypersurfaces

UR - https://www.scopus.com/pages/publications/105009464622

U2 - 10.4208/jms.v58n2.25.06

DO - 10.4208/jms.v58n2.25.06

M3 - Article

SN - 2096-9856

VL - 58

SP - 211

EP - 252

JO - Journal of Mathematical Study

JF - Journal of Mathematical Study

IS - 2

ER -

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

Abstract

Keywords

Access to Document

Other files and links

Cite this