About: Lambda g conjecture

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In algebraic geometry, the -conjecture gives a particularly simple formula for certain integrals on the Deligne–Mumford compactification of the moduli space of curves with marked points. It was first found as a consequence of the Virasoro conjecture by E. Getzler and R. Pandharipande. Later, it was proven by C. Faber and R. Pandharipande using virtual localization in Gromov–Witten theory. It is named after the factor of , the gth Chern class of the Hodge bundle, appearing in its integrand. The other factor is a monomial in the , the first Chern classes of the n cotangent line bundles, as in Witten's conjecture.

Property	Value
dbo:abstract	In algebraic geometry, the -conjecture gives a particularly simple formula for certain integrals on the Deligne–Mumford compactification of the moduli space of curves with marked points. It was first found as a consequence of the Virasoro conjecture by E. Getzler and R. Pandharipande. Later, it was proven by C. Faber and R. Pandharipande using virtual localization in Gromov–Witten theory. It is named after the factor of , the gth Chern class of the Hodge bundle, appearing in its integrand. The other factor is a monomial in the , the first Chern classes of the n cotangent line bundles, as in Witten's conjecture. Let be positive integers such that: Then the -formula can be stated as follows: The -formula in combination with where the B2g are Bernoulli numbers, gives a way to calculate all integrals on involving products in -classes and a factor of . (en)
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dbp:arxiv	math.AG/9805114 (en)
dbp:first	C. (en) R. (en) E. (en)
dbp:issue	1 (xsd:integer) 3 (xsd:integer)
dbp:journal	Ann. of Math. (en) Nuclear Physics B (en)
dbp:last	Faber (en) Getzler (en) Pandharipande (en)
dbp:pages	97 (xsd:integer) 701 (xsd:integer)
dbp:series	2 (xsd:integer)
dbp:title	Virasoro constraints and the Chern classes of the Hodge bundle (en) Hodge integrals, partition matrices, and the conjecture (en)
dbp:volume	157 (xsd:integer) 530 (xsd:integer)
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dbp:year	1998 (xsd:integer) 2003 (xsd:integer)
dcterms:subject	dbc:Moduli_theory dbc:Algebraic_curves
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rdfs:comment	In algebraic geometry, the -conjecture gives a particularly simple formula for certain integrals on the Deligne–Mumford compactification of the moduli space of curves with marked points. It was first found as a consequence of the Virasoro conjecture by E. Getzler and R. Pandharipande. Later, it was proven by C. Faber and R. Pandharipande using virtual localization in Gromov–Witten theory. It is named after the factor of , the gth Chern class of the Hodge bundle, appearing in its integrand. The other factor is a monomial in the , the first Chern classes of the n cotangent line bundles, as in Witten's conjecture. (en)
rdfs:label	Lambda g conjecture (en)
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