Sg. Scott et Kp. Wojciechowski, DETERMINANTS, GRASSMANNIANS AND ELLIPTIC BOUNDARY-PROBLEMS FOR THE DIRAC OPERATOR, letters in mathematical physics, 40(2), 1997, pp. 135-145
We study the relations between different determinants of the Dirac ope
rator over a manifold with boundary considered as sections of a holomo
rphic line bundle over the Grassmannian of boundary conditions of Atiy
ah-Patodi-Singer type.