论文标题
无限同型稳定类，用于边界的4个manifolds
Infinite homotopy stable class for 4-manifolds with boundary
论文作者
论文摘要
我们表明，对于每一个奇怪的$ q $，都存在一个无限的家庭$ \ {m_i \} _ {i = 1}^{\ fty {\ infty} $ 4 manifolds的同型同型同型同型彼此同源，彼此之间的彼此，所有这些流派$ m_i $都具有等速度的Intersection Intersection in Intersection $ laysection undersection $ laysection underssection underesection $ l（2） s^2）$，但它们不是同质的同性等效性，这些等效限制了边界的同质等效性。
We show that for every odd prime $q$, there exists an infinite family $\{M_i\}_{i=1}^{\infty}$ of topological 4-manifolds that are all stably homeomorphic to one another, all the manifolds $M_i$ have isometric rank one equivariant intersection pairings and boundary $L(2q, 1) # (S^1 \times S^2)$, but they are pairwise not homotopy equivalent via any homotopy equivalence that restricts to a homotopy equivalence of the boundary.
