论文标题
在具有奇异性的歧管上具有正标曲率的指标空间的同质副本不变性
Homotopy invariance of the space of metrics with positive scalar curvature on manifolds with singularities
论文作者
论文摘要
在本文中，我们研究了带有纤维奇点的$x_σ$，更具体地说，是一个相关空间$ {\ Mathcal r}^{\ rm psc}（x_σ）$ riemannian量子指标，带正标量表曲率。我们的主要目标是证明空间$ {\ MATHCAL R}^{\ rm PSC}（x_σ）$在$x_σ$上的某些手术下是同型不变的。
In this paper we study manifolds, $X_Σ$, with fibred singularities, more specifically, a relevant space ${\mathcal R}^{\rm psc}(X_Σ)$ of Riemannian metrics with positive scalar curvature. Our main goal is to prove that the space ${\mathcal R}^{\rm psc}(X_Σ)$ is homotopy invariant under certain surgeries on $X_Σ$.
