@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} }