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The Witten top Chern class via Ktheory
 J. Algebraic Geom
"... Abstract. The Witten top Chern class is the crucial cohomology class needed to state a conjecture by Witten relating the Gelfand–Dikiĭ hierarchies to higher spin curves. In [PV01], Polishchuk and Vaintrob provide an algebraic construction of such a class. We present a more straightforward constructi ..."
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Cited by 17 (2 self)
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Abstract. The Witten top Chern class is the crucial cohomology class needed to state a conjecture by Witten relating the Gelfand–Dikiĭ hierarchies to higher spin curves. In [PV01], Polishchuk and Vaintrob provide an algebraic construction of such a class. We present a more straightforward
Witten’s top Chern class in K–theory
, 2002
"... A generalization of the Euler class in algebraic K–theory is given. Such a construction is applied to rSpin moduli to produce the Witten top Chern class directly in K–theory. In cohomology such a class agrees with the one defined by Polishchuk and Vaintrob in [PV]. 1 ..."
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A generalization of the Euler class in algebraic K–theory is given. Such a construction is applied to rSpin moduli to produce the Witten top Chern class directly in K–theory. In cohomology such a class agrees with the one defined by Polishchuk and Vaintrob in [PV]. 1
Intersection numbers with Witten’s top Chern class
 Geom. Topol
"... Witten’s top Chern class is a particular cohomology class on the moduli space of Riemann surfaces endowed with rspin structures. It plays a key role in Witten’s conjecture relating to the intersection theory on these moduli spaces. Our first goal is to compute the integral of Witten’s class over th ..."
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Cited by 7 (4 self)
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Witten’s top Chern class is a particular cohomology class on the moduli space of Riemann surfaces endowed with rspin structures. It plays a key role in Witten’s conjecture relating to the intersection theory on these moduli spaces. Our first goal is to compute the integral of Witten’s class over
THE ORDER OF THE TOP CHERN CLASS OF THE HODGE BUNDLE ON THE MODULI SPACE OF ABELIAN VARIETIES
, 2003
"... Abstract. We give upper and lower bounds for the order of the top Chern class of the Hodge bundle on the moduli space of principally polarized abelian varieties. 1. ..."
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Cited by 2 (0 self)
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Abstract. We give upper and lower bounds for the order of the top Chern class of the Hodge bundle on the moduli space of principally polarized abelian varieties. 1.
VANISHING OF THE TOP CHERN CLASSES OF THE MODULI OF VECTOR BUNDLES
, 2004
"... Let Y be a smooth projective curve of genus g ≥ 2 and let Mr,d(Y) be the moduli space of stable vector bundles of rank r and degree d on Y. In case d and r are relarively prime, Mr,d(Y) is a smooth projective variety of dimension r 2 (g −1)+1. A classical conjecture of Newstead and Ramanan states th ..."
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Cited by 6 (2 self)
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Let Y be a smooth projective curve of genus g ≥ 2 and let Mr,d(Y) be the moduli space of stable vector bundles of rank r and degree d on Y. In case d and r are relarively prime, Mr,d(Y) is a smooth projective variety of dimension r 2 (g −1)+1. A classical conjecture of Newstead and Ramanan states that
THE TOP CHERN CLASS OF THE HODGE BUNDLE ON THE MODULI SPACE OF ABELIAN VARIETIES
, 2000
"... Abstract. We give upper and lower bounds for the order of the top Chern class of the Hodge bundle on the moduli space of principally polarized abelian varieties. We also give a generalization to higher genera of the famous formula 12 λ1 = δ for genus 1. 1. ..."
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Abstract. We give upper and lower bounds for the order of the top Chern class of the Hodge bundle on the moduli space of principally polarized abelian varieties. We also give a generalization to higher genera of the famous formula 12 λ1 = δ for genus 1. 1.
Witten’s top Chern class on the moduli space of higher spin curves, math.AG/0208112, to appear
 in Proceedings of the Workshop on Frobenius manifolds
"... Abstract. We prove that the algebraic Witten’s “top Chern class ” constructed in [9] satisfies the axioms for the spin virtual class formulated in [5]. This paper is a sequel to [9]. Its goal is to verify that the virtual top Chern class c1/r in the Chow group of the moduli space of higher spin curv ..."
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Cited by 24 (1 self)
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Abstract. We prove that the algebraic Witten’s “top Chern class ” constructed in [9] satisfies the axioms for the spin virtual class formulated in [5]. This paper is a sequel to [9]. Its goal is to verify that the virtual top Chern class c1/r in the Chow group of the moduli space of higher spin
Algebraic construction of Witten’s top Chern class in “Advances in algebraic geometry motivated by physics
"... Abstract. Applying a modification of MacPherson’s graph construction to the case of periodic complexes, we give an algebraic construction of Witten’s “top Chern class ” on the moduli space of algebraic curves with higher spin structures. We show that it satisfies most of the axioms for the spin virt ..."
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Cited by 35 (6 self)
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Abstract. Applying a modification of MacPherson’s graph construction to the case of periodic complexes, we give an algebraic construction of Witten’s “top Chern class ” on the moduli space of algebraic curves with higher spin structures. We show that it satisfies most of the axioms for the spin
CYCLES REPRESENTING THE TOP CHERN CLASS OF THE HODGE BUNDLE ON THE MODULI SPACE OF ABELIAN VARIETIES
, 2004
"... Abstract. We give a generalization to higher genera of the famous formula 12 λ = δ for genus 1. We also compute the classes of certain strata in the Satake compactification as elements of the push down of the tautological ring. 1. ..."
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Cited by 4 (0 self)
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Abstract. We give a generalization to higher genera of the famous formula 12 λ = δ for genus 1. We also compute the classes of certain strata in the Satake compactification as elements of the push down of the tautological ring. 1.
Results 1  10
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