论文标题
3个manifolds，没有确定的4个manifold
3-manifolds that bound no definite 4-manifold
论文作者
论文摘要
我们产生一个理性同源性3速率，该速率无法平稳地构成正定或负面的4个manifold。这样的3个模型必然不能与塞菲尔特纤维空间或dehn手术在结上获得的任何3个manifold合理同源。该证明需要对双相晶格中短特征共vect子进行分析。
We produce a rational homology 3-sphere that does not smoothly bound either a positive or negative definite 4-manifold. Such a 3-manifold necessarily cannot be rational homology cobordant to a Seifert fibered space or any 3-manifold obtained by Dehn surgery on a knot. The proof requires an analysis of short characteristic covectors in bimodular lattices.
