Título:
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Differential operators and the Witten genus for projective spaces and Milnor manifolds
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Autor/a:
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Gálvez Carrillo, Maria Immaculada; Tonks, Andrew
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Otros autores:
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Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III |
Abstract:
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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] for details |
Abstract:
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Peer Reviewed |
Materia(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria algebraica -Manifolds (Mathematics) -Geometry, Algebraic -Varietats (Matemàtica) -Geometria algebraica -Classificació AMS::37 Dynamical systems and ergodic theory -Classificació AMS::32 Several complex variables and analytic spaces::32W Differential operators in several variables |
Derechos:
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Tipo de documento:
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Artículo - Versión presentada Artículo |
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