Results 21 to 30 of about 531 (82)
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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Welschinger invariants of small non-toric Del Pezzo surfaces [PDF]
, 2010 We give a recursive formula for purely real Welschinger invariants of the following real Del Pezzo surfaces: the projective plane blown up at q real and s 1 pairs of conjugate imaginary points, where q + 2s 5, and the real quadric blown up at s 1 ...
I. Itenberg, V. Kharlamov, E. Shustin
semanticscholar +1 more source
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
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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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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
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On the rigidity of stable maps to Calabi-Yau threefolds [PDF]
, 2006 If X is a nonsingular curve in a Calabi--Yau threefold Y whose normal bundle N_{X/Y} is a generic semistable bundle, are the local Gromov-Witten invariants of X well defined? For X of genus two or higher, the issues are subtle.
Bryan, Jim, Pandharipande, Rahul
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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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Behavior of Welschinger Invariants under Morse Simplifications [PDF]
, 2012 We relate Welschinger invariants of a rational real symplectic 4-manifold before and after a Morse simplification (i.e deletion of a sphere or a handle of the real part of the surface).
Brugallé, Erwan, Puignau, Nicolas
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