Results 21 to 30 of about 77 (64)
F‐Manifolds and geometry of information
Bulletin of the London Mathematical Society, Volume 52, Issue 5, Page 777-792, October 2020., 2020 Abstract The theory of F‐manifolds, and more generally, manifolds endowed with commutative and associative multiplication of their tangent fields, was discovered and formalised in various models of quantum field theory involving algebraic and analytic geometry, at least since the 1990s. The focus of this paper consists in the demonstration that various
Noémie Combe, Yuri I. Manin
wiley +1 more source
Categorical and K-theoretic Donaldson–Thomas theory of $\mathbb {C}^3$ (part II)
Forum of Mathematics, Sigma, 2023 Quasi-BPS categories appear as summands in semiorthogonal decompositions of DT categories for Hilbert schemes of points in the three-dimensional affine space and in the categorical Hall algebra of the two-dimensional affine space. In this paper, we prove
Tudor Pădurariu, Yukinobu Toda
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The Local Gromov-Witten invariants of configurations of rational curves [PDF]
, 2005 We compute the local Gromov‐Witten invariants of certain configurations of rational curves in a Calabi‐Yau threefold. These configurations are connected subcurves of the “minimal trivalent configuration”, which is a particular tree of P 1 ’s with ...
Dagan Karp +2 more
semanticscholar +1 more source
Proceedings of the London Mathematical Society, Volume 121, Issue 4, Page 954-1032, October 2020., 2020 Abstract I provide an explicit construction of spectral curves for the affine E8 relativistic Toda chain. Their closed‐form expression is obtained by determining the full set of character relations in the representation ring of E8 for the exterior algebra of the adjoint representation; this is in turn employed to provide an explicit construction of ...
Andrea Brini
wiley +1 more source
The genus 0 Gromov–Witten invariants of projective complete intersections [PDF]
, 2011 We describe the structure of mirror formulas for genus 0 Gromov‐Witten invariants of projective complete intersections with any number of marked points and provide an explicit algorithm for obtaining the relevant structure coefficients. As an application,
A. Zinger
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THE KATZ–KLEMM–VAFA CONJECTURE FOR $K3$ SURFACES
Forum of Mathematics, Pi, 2016 We prove the KKV conjecture expressing Gromov–Witten invariants of $K3$ surfaces in terms of modular forms.
R. PANDHARIPANDE, R. P. THOMAS
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Frobenius splitting of Schubert varieties of semi-infinite flag manifolds
Forum of Mathematics, Pi, 2021 We exhibit basic algebro-geometric results on the formal model of semi-infinite flag varieties and its Schubert varieties over an algebraically closed field ${\mathbb K}$ of characteristic $\neq 2$ from scratch.
Syu Kato
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A mirror theorem for the mirror quintic [PDF]
, 2012 The celebrated Mirror theorem states that the genus zero part of the A model (quantum cohomology, rational curves counting) of the Fermat quintic threefold is equivalent to the B model (complex deformation, variation of Hodge structure) of its mirror ...
Yuan-Pin Lee, Mark Shoemaker
semanticscholar +1 more source
The moduli space of stable quotients [PDF]
, 2009 A moduli space of stable quotients of the rank n trivial sheaf on stable curves is introduced. Over nonsingular curves, the moduli space is Grothendieck’s Quot scheme. Over nodal curves, a relative construction is made to keep the torsion of the quotient
A. Marian, D. Oprea, R. Pandharipande
semanticscholar +1 more source
Virasoro constraints for moduli spaces of sheaves on surfaces
Forum of Mathematics, Sigma, 2023 We introduce a conjecture on Virasoro constraints for the moduli space of stable sheaves on a smooth projective surface. These generalise the Virasoro constraints on the Hilbert scheme of a surface found by Moreira and Moreira, Oblomkov, Okounkov and ...
Dirk van Bree
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