A cork of the rational surface with the second Betti number 9

IF 0.6 4区数学 Q3 MATHEMATICS Topology and its Applications Pub Date : 2024-06-20 DOI:10.1016/j.topol.2024.109002

Yohei Wakamaki

引用次数: 0

Abstract

We provide the first explicit example of a cork of ${CP}^{2} # 8 \overline{{CP}^{2}}$ . This result gives the current smallest second Betti number of a standard simply-connected closed 4-manifold for which an explicit cork has been found.

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第二个贝蒂数为 9 的有理面软木塞

我们提供了 CP2#8CP2‾ 软木塞的第一个明确例子。这一结果给出了目前已发现明确软木塞的标准简单连接封闭 4-manifold的最小第二贝蒂数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Topology and its Applications 数学-数学

CiteScore

1.20

自引率

33.30%

发文量

251

审稿时长

6 months

期刊介绍： Topology and its Applications is primarily concerned with publishing original research papers of moderate length. However, a limited number of carefully selected survey or expository papers are also included. The mathematical focus of the journal is that suggested by the title: Research in Topology. It is felt that it is inadvisable to attempt a definitive description of topology as understood for this journal. Certainly the subject includes the algebraic, general, geometric, and set-theoretic facets of topology as well as areas of interactions between topology and other mathematical disciplines, e.g. topological algebra, topological dynamics, functional analysis, category theory. Since the roles of various aspects of topology continue to change, the non-specific delineation of topics serves to reflect the current state of research in topology. At regular intervals, the journal publishes a section entitled Open Problems in Topology, edited by J. van Mill and G.M. Reed. This is a status report on the 1100 problems listed in the book of the same name published by North-Holland in 1990, edited by van Mill and Reed.

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