ELLIPTIC GENERA OF COMPLETE INTERSECTIONS
نویسندگان
چکیده
منابع مشابه
Elliptic Genera of Complete Intersections
We propose a new definition of the elliptic genera for complete intersections, not necessarily nonsingular, in projective spaces. We also prove they coincide with the expressions obtained from Landau-Ginzburg model by an elementary argument.
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In this note, we prove that the Witten genus of nonsingular stringy complete intersections in product of complex projective spaces vanishes.
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We introduce the equivariant elliptic genus for open varieties and prove an equivariant version of the change of variable formula for blow-ups along complete intersections. In addition, we prove the equivariant elliptic genus analogue of the McKay correspondence for the ALE spaces.
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The structure and modular properties of N = 4 superconformal characters are reviewed and exploited, in an attempt to construct elliptic genera-like functions by decompactifying K3. The construction is tested against expressions obtained in the context of strings propagating in background ALE spaces of type AN−1, using the underlying superconformal theory N = 2 minimal ⊗ N = 2 Liouville.
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ژورنال
عنوان ژورنال: International Journal of Mathematics
سال: 2005
ISSN: 0129-167X,1793-6519
DOI: 10.1142/s0129167x05003259