The odd-dimensional analogue of a theorem of Getzler and Wu Academic Article uri icon

abstract

  • We prove an analogue for odd-dimensional manifolds with boundary, in the bcalculus setting, of the higher Atiyah-Patodi-Singer index theorem by Getzler and by Wu, and thus obtain a natural counterpart of the eta invariant for even-dimensional closed manifolds. European Mathematical Society.

published proceedings

  • Journal of Noncommutative Geometry

author list (cited authors)

  • Xie, Z.

citation count

  • 1

complete list of authors

  • Xie, Zhizhang

publication date

  • October 2013