来自 $\mathrm{Pin}^{-}(2)$-单极的关于光滑4-流形族的约束
Constraints on families of smooth 4-manifolds from $\mathrm{Pin}^{-}(2)$-monopole
AI总结：
本文利用$\mathrm{Pin}^{-}(2)$-单极方程推广了Baraglia关于单连通闭光滑4-流形微分同胚与同胚群弱同伦不等价的结论，并给出了群同态非满射的新实例。
摘要：
Baraglia近期利用Seiberg-Witten单极方程证明，对多数单连通闭光滑4-流形$X$，包含$\mathrm{Diff}(X) \hookrightarrow \mathrm{Homeo}(X)$非弱同伦等价。本文改用$\mathrm{Pin}^{-}(2)$-单极方程推广了该结论，并给出了4-流形$X$的新实例，证明$π_{0}(\mathrm{Diff}(X)) \to π_{0}(\mathrm{Homeo}(X))$非满射。
英文摘要：
Using the Seiberg-Witten monopole equations, Baraglia recently proved that for most of simply-connected closed smooth $4$-manifolds $X$, the inclusions $\mathrm{Diff}(X) \hookrightarrow \mathrm{Homeo}(X)$ are not weak homotopy equivalences. In this paper, we generalize Baraglia's result using the $\mathrm{Pin}^{-}(2)$-monopole equations instead. We also give new examples of $4$-manifolds $X$ for which $π_{0}(\mathrm{Diff}(X)) \to π_{0}(\mathrm{Homeo}(X))$ are not surjections.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
