文摘
For a generic f∈C∞(R4,R4)f∈C∞(R4,R4) there is a discrete set Σ2(Df)Σ2(Df) of critical points of rank two, and there is an integer index Ip(Df)Ip(Df) associated to any p∈Σ2(Df)p∈Σ2(Df). We show how to compute ∑Ip(Df)∑Ip(Df), where p∈Σ2(Df)p∈Σ2(Df), in the case where f is a polynomial mapping.