Zobrazeno 1 - 10
of 167
pro vyhledávání: '"53D45, 14N35"'
Autor:
Wilkins, Nicholas
In this survey paper, we will collate various different ideas and thoughts regarding equivariant operations on quantum cohomology (and some in more general Floer theory) for a symplectic manifold. We will discuss a general notion of equivariant quant
Externí odkaz:
http://arxiv.org/abs/2409.01743
Autor:
Siegel, Kyler
The ellipsoidal superpotential of the complex projective plane can be interpreted as a count of rigid rational plane curves of a given degree with one prescribed cusp singularity. In this note we present a closed formula for these counts as a sum ove
Externí odkaz:
http://arxiv.org/abs/2404.14707
Autor:
Caldararu, Andrei, Tu, Junwu
We introduce enumerative invariants $F_{g,n}$ $(g\geq0$, $n \geq 1)$ associated to a cyclic $A_\infty$ algebra and a splitting of its non-commutative Hodge filtration. These invariants are defined by explicitly computable Feynman sums, and encode the
Externí odkaz:
http://arxiv.org/abs/2404.01499
Autor:
Blumberg, Roi, Tukachinsky, Sara B.
We give a computability result for open Gromov-Witten invariants based on open WDVV equations. This is analogous to the result of Kontsevich-Manin for closed Gromov-Witten invariants. For greater generality, we base the argument on a formal object, t
Externí odkaz:
http://arxiv.org/abs/2402.10542
Autor:
Hugtenburg, Kai, Tukachinsky, Sara B.
We compute the quantum cohomology relative to a Lagrangian submanifold in some complete intersections. For quadric hypersurfaces, we also give a full computation of the genus zero open Gromov-Witten invariants.
Comment: 44 pages
Comment: 44 pages
Externí odkaz:
http://arxiv.org/abs/2402.03209
Autor:
Georgieva, Penka, Zinger, Aleksey
We collect geometric properties of the all-genus real Gromov-Witten theory and provide updates on its development since its introduction in 2015. We bring attention to a modification of the original construction of this theory which is applicable in
Externí odkaz:
http://arxiv.org/abs/2311.11994
Given a closed symplectic manifold $X$, we construct Gromov-Witten-type invariants valued both in (complex) $K$-theory and in any complex-oriented cohomology theory $\mathbb{K}$ which is $K_p(n)$-local for some Morava $K$-theory $K_p(n)$. We show tha
Externí odkaz:
http://arxiv.org/abs/2307.01883
Autor:
Ritter, Alexander F., Živanović, Filip
We construct a filtration by ideals on quantum cohomology for symplectic manifolds with a Hamiltonian $S^1$-action that extends to a pseudoholomorphic $\mathbb{C}^*$-action. These spaces include all Conical Symplectic Resolutions, in particular all Q
Externí odkaz:
http://arxiv.org/abs/2304.13026
Autor:
Jinzenji, Masao, Matsuzaka, Kohki
Publikováno v:
Kodai Math. J. 47 (2), 162-177 (2024)
In this paper, we derive the generalized hypergeometric functions used in mirror computation of degree k hypersurface in CP^{N-1} as generating functions of intersection numbers of the moduli space of quasimaps from CP^{1} with two marked points to C
Externí odkaz:
http://arxiv.org/abs/2302.12947
Hori's Equation for Gravitational Virtual Structure Constants of Calabi-Yau Hypersurface in CP^{N-1}
Autor:
Jinzenji, Masao, Matsuzaka, Kohki
In this paper, we give a proof of Hori's equation for intersection numbers of the moduli space of quasimaps from CP^{1} with (2+1) marked points to CP^{N-1} by using localization technique.
Comment: 14pages, Latex,some typos are corrected
Comment: 14pages, Latex,some typos are corrected
Externí odkaz:
http://arxiv.org/abs/2302.10471