On the Thom Conjecture in CP^3
On the Thom Conjecture in CP^3
复制标题
论CP^3中的汤姆猜想
DOI：
10.1093/imrn/rnab343
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发表时间：
2021
影响因子：
1
通讯作者：
Strle, Sašo
中科院分区：
文献类型：
--
作者：
Ruberman, Daniel;Slapar, Marko;Strle, Sašo
嵌入度超曲面的最简单光滑单连通流形是什么？这个问题的一个版本与托姆问，如果有最小的所有此类流形。虽然这是真实的程度，我们表明，对于所有的，有一个流形在这个同源类。这与Kronheimer-Mrowka解决方案的托姆猜想的表面在和类似的结果弗里德曼为流形在withodd和大于。
What is the simplest smooth simply connected-manifold embedded inhomologous to a degreehypersurface? A version of this question associated with Thom asks ifhas the smallestamong all such manifolds. While this is true for degree at most, we show that for all, there is a manifoldin this homology class with. This contrasts with the Kronheimer–Mrowka solution of the Thom conjecture about surfaces inand is similar to results of Freedman for-manifolds inwithodd and greater than.