Chern character数的Poincaré-Hopf型公式
A Poincaré-Hopf type formula for Chern character numbers
摘要:
对于两个含有孤立奇点同态的复向量丛,我们建立了这两个向量丛的Chern特征标数之差的Poincaré-Hopf型公式.因此,我们将原来的庞加莱-霍普夫指数公式推广到复向量场的情形(发表在《数学杂志》上)
英文摘要:
For two complex vector bundles admitting a homomorphism with isolated singularities between them, we establish a Poincaré-Hopf type formula for the difference of the Chern character numbers of these two vector bundles. As a consequence, we extend the original Poincaré-Hopf index formula to the case of complex vector fields (to appear in Mathematische Zeitschrift)
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。