论文标题
Morse同源性:梯度流线,相干性和应用的模量空间的方向
Morse homology: orientation of the moduli space of gradient flow lines, coherence and applications
论文作者
论文摘要
在本文中,我们将计算链络合物和整数系数上的某些摩尔斯功能$ f $的相应同源性。正确的边界操作员的定义需要仔细构建(伪)梯度流量线方向的模量空间。然后,我们将在这些同源组对4个manifolds的计算中应用这种结构。
In this paper, we shall compute the chain complex and the corresponding homology of some Morse function $f$ over integer coefficients. The definition of the correct boundary operator requires a careful construction of moduli space of (pseudo)gradient flow lines orientations. We will then apply this construction in the computation of these homology groups on 4-manifolds.