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Elliptic Genera of Level N and Elliptic Cohomology
Author(s) -
Baker Andrew
Publication year - 1994
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/49.3.581
Subject(s) - mathematics , pure mathematics , genus , cohomology , modular elliptic curve , elliptic curve , modular form , modular design , algebra over a field , quarter period , computer science , botany , biology , operating system
Elliptic genera of level N have been defined by F. Hirzebruch, generalising the earlier notion of elliptic genus due to S. Ochanine. We show that there are corresponding elliptic cohomology theories which are naturally associated to such genera and that these are obtained from the level 1 case by algebraic extension of the coefficient rings from level 1 to level N modular forms.