• A
  • A
  • A
  • ABC
  • ABC
  • ABC
  • А
  • А
  • А
  • А
  • А
Regular version of the site

Working paper

Hirzebruch functional equations and complex Krichever genera

    It is well known that the two-parametric Todd genus and elliptic functions of level~$d$ define $n$-multiplicative Hirzebruch genera, if~$d$ divides~$n+1$.     Both these cases are particular cases of Krichever genera defined by the Baker--Akhiezer functions.     In this work the inverse problem is solved.     Namely, it is proved that only these families of functions define $n$-multiplicative Hirzebruch genera among all the Krichever genera for all~$n$.