Pair-of-Pants Decompositions of 4-Manifolds Diffeomorphic to General Type Hypersurfaces
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@Article{JMS-58-211,
author = {Zhang , Yuguang},
title = {Pair-of-Pants Decompositions of 4-Manifolds Diffeomorphic to General Type Hypersurfaces},
journal = {Journal of Mathematical Study},
year = {2025},
volume = {58},
number = {2},
pages = {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.
}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v58n2.25.06}, url = {http://global-sci.org/intro/article_detail/jms/24211.html} }
TY - JOUR
T1 - Pair-of-Pants Decompositions of 4-Manifolds Diffeomorphic to General Type Hypersurfaces
AU - Zhang , Yuguang
JO - Journal of Mathematical Study
VL - 2
SP - 211
EP - 252
PY - 2025
DA - 2025/06
SN - 58
DO - http://doi.org/10.4208/jms.v58n2.25.06
UR - https://global-sci.org/intro/article_detail/jms/24211.html
KW - Pair-of-pants decompositions, general type hypersurfaces.
AB -
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.
Zhang , Yuguang. (2025). Pair-of-Pants Decompositions of 4-Manifolds Diffeomorphic to General Type Hypersurfaces.
Journal of Mathematical Study. 58 (2).
211-252.
doi:10.4208/jms.v58n2.25.06
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