A Poincar,-Hopf type formula for Chern character numbers

作者：Feng Huitao^*; Li Weiping; Zhang Weiping

来源：Mathematische Zeitschrift, 2011, 269(1-2): 401-410.

DOI：10.1007/s00209-010-0742-1

For two complex vector bundles admitting a homomorphism with isolated singularities between them, we establish a Poincar,-Hopf type formula for the difference of the Chern character numbers of these two vector bundles. As a consequence, we extend the original Poincar,-Hopf index formula to the case of complex vector fields.

• 出版日期2011-10
• 单位南开大学; 重庆理工大学