Journal of Singularities
volume 3 (2011), 113-125
Received: 14 May 2010. Received in revised form: 9 June 2011.
For a stable map φ:M → S^2 of a closed and connected surface into the sphere, let c(φ) and n(φ) denote the numbers of cusps and nodes respectively. In this paper, for each integer i ≥ 1, in the given homotopy class with i fold curve components, we will determine the minimal number c +n.
Mathematical Subject Classification:
Primary: 57R45; Secondary: 57N13
|Taishi Fukuda||Takahiro Yamamoto|
|15-28-303, Fujimi 1-chome, Urayasu, Chiba||Faculty of Engineering, Kyushu Sangyo University|
|279-0043 Japan||3-1, Matsukadai 2-chome, Higashi-ku, Fukuoka|
|email: email@example.com||email: firstname.lastname@example.org|