Results 11 to 20 of about 76 (73)
The local motivic DT/PT correspondence. [PDF]
J Lond Math Soc, 2021 Abstract We show that the Quot scheme QLn=QuotA3(IL,n) parameterising length n quotients of the ideal sheaf of a line in A3 is a global critical locus, and calculate the resulting motivic partition function (varying n), in the ring of relative motives over the configuration space of points in A3.
Davison B, Ricolfi AT.
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Convergence of the mirror to a rational elliptic surface
Transactions of the London Mathematical Society, 2021 The construction introduced by Gross, Hacking and Keel in (Several Complex Variables (Springer, New York, NY, 1976))allows one to construct a formal mirror family to a pair (S,D) where S is a smooth rational projective surface and D a certain type of ...
Lawrence Jack Barrott
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, 2012 Object of study in this paper are the Hurwitz numbers. They were introduced by Hurwitz in the end of nineteenth century and still they are of great interest. The Hurwitz numbers are important in topology because they enumerate ramified coverings of two-dimensional surfaces, but not only.
VETRO, Francesca
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Forum of Mathematics, Pi, 2021 We prove a higher genus version of the genus $0$ local-relative correspondence of van Garrel-Graber-Ruddat: for $(X,D)$ a pair with X a smooth projective variety and D a nef smooth divisor, maximal contact Gromov-Witten theory of $(X,D)$ with $\lambda _g$
Pierrick Bousseau +3 more
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Crepant resolutions and open strings II [PDF]
Épijournal de Géométrie Algébrique, 2018 We recently formulated a number of Crepant Resolution Conjectures (CRC) for open Gromov-Witten invariants of Aganagic-Vafa Lagrangian branes and verified them for the family of threefold type A-singularities. In this paper we enlarge the body of evidence
Andrea Brini, Renzo Cavalieri
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Rational cuspidal curves in a moving family of ℙ2
Complex Manifolds, 2021 In this paper we obtain a formula for the number of rational degree d curves in ℙ3 having a cusp, whose image lies in a ℙ2 and that passes through r lines and s points (where r + 2s = 3d + 1).
Mukherjee Ritwik, Singh Rahul Kumar
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Maternal mental health and infant neurodevelopment at 6 months in a low‐income South African cohort
Infant Mental Health Journal: Infancy and Early Childhood, Volume 43, Issue 6, Page 849-863, November 2022., 2022 Abstract Maternal mental health disorders and the adverse consequences for infant neurodevelopment have received substantial research attention in high‐income countries over the past five decades. In Africa, where relatively little work has been done on this topic, researchers have largely focused on infant physical health outcomes.
Marlette Burger +4 more
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Quasimaps to GIT fibre bundles and applications
Forum of Mathematics, Sigma, 2021 In [4], Brown proved that the I-function of a toric fibration lies on the overruled Lagrangian cone of its $g=0$ Gromov–Witten theory, introduced by Coates and Givental [8]. In this paper, we prove the theorem for partial flag-variety fibrations.
Jeongseok Oh
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Forum of Mathematics, Sigma, 2021 We prove an equivalence between the Bryan-Steinberg theory of $\pi $-stable pairs on $Y = \mathcal {A}_{m-1} \times \mathbb {C}$ and the theory of quasimaps to $X = \text{Hilb}(\mathcal {A}_{m-1})$, in the form of an equality of K-theoretic equivariant
Henry Liu
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Curves on K3 surfaces in divisibility 2
Forum of Mathematics, Sigma, 2021 We prove a conjecture of Maulik, Pandharipande and Thomas expressing the Gromov–Witten invariants of K3 surfaces for divisibility 2 curve classes in all genera in terms of weakly holomorphic quasi-modular forms of level 2.
Younghan Bae, Tim-Henrik Buelles
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