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Differential operators and the Witten genus for projective spaces and Milnor manifolds

Author
Galvez, M.; Tonks, A.
Type of activity
Journal article
Journal
Mathematical proceedings of the Cambridge Philosophical Society
Date of publication
2003
Volume
135
Number
1
First page
123
Last page
131
DOI
https://doi.org/10.1017/S0305004102006618 Open in new window
Repository
http://hdl.handle.net/2117/12031 Open in new window
URL
http://journals.cambridge.org/action/displayAbstract?aid=163180 Open in new window
Abstract
A $genus$ (in the sense of Hirzebruch [4]) is a multiplicative invariant of cobordism classes of manifolds. Classical examples include the numerical invariants given by the signature and the $\widehat{A}$- and Todd genera. More recently genera were introduced which take as values modular forms on the upper half-plane, $\frak{h}=\{\,\tau\;|\;\mathrm{Im}(\tau)>0\,\}$. The main examples are the elliptic genus $\phi_{ell}$ and the Witten genus $\phi_W$; we refer the reader to the texts [7] or [9] fo...
Citation
Gálvez, I.; Tonks, A. Differential operators and the Witten genus for projective spaces and Milnor manifolds. "Mathematical proceedings of the Cambridge Philosophical Society", 2003, vol. 135, núm. 1, p. 123-131.
Group of research
GEOMVAP - Geometry of Manifolds and Applications

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