210 Vol. 75, No. 4, 2020 ©2020 Atiyah Patodi Singer APS 4 E B APS 4 1 d 2 X n n c x η Y ò + - - - = ・ ( ) E B n Dirac 1 c η Y Dirac APS Dirac APS APS APS 2017 APS APS APS APS 1 2 APS APS Keywords Dirac APS APS Dirac Atiyah Patodi Singer hfukaya 4 het.phys.sci.osaka-u.ac.jp onogi 4 het.phys.sci.osaka-u.ac.jp yamaguch 4 het.phys.sci.osaka-u.phys.ac.jp 211 Atiyah Patodi Singer ©2020 1. Atiyah Patodi