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 - <p style="text-align: justify;">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.</p>