activity
20082024
most citedOpen Gromov-Witten theory on Calabi-Yau three-folds II

16 citations · 38 across the 11 of their papers we have counts for

collaborators

11 papers

math.SG2024

Quantum Master Equation and Open Gromov-Witten Theory 2

Vito Iacovino

We define the not abelian Open Gromov-Witten potential.

math.SG2024

Quantum Master Equation and Open Gromov-Witten theory

Vito Iacovino

We construct the higher genus Open-Closed Gromov-Witten potential as a solution of the quantum master equation defined up to quantum master isotopy.

math.SG2018

Open Gromov-Witten invariants and Boundary States

Vito Iacovino

In this note we show how Kontsevich-Soibelman algebra arise naturally in Open Gromov-Witten theory for not compact geometries.

math.SG2017★ 1 cited

Kontsevich-Soibelman Wall Crossing Formula and Holomorphic Disks

Vito Iacovino

We define rational numbers counting holomorphic disks bounding a complex lagrangian submanifold on a hyperkhaler manifold of real dimension four. We provide a simple a direct proof…

math.SG2017★ 3 cited

Open Gromov-Witten theory without Obstruction

Vito Iacovino

Open Gromov-Witten invariants are defined as cycles of the multi-curve chain complex, well defined up to isotopy.

math.SG2011★ 3 cited

Obstruction classes and Open Gromov-Witten invariants

Vito Iacovino

We define genus zero open Gromov-Witten invariants for Calabi-Yau three folds and relatively spin Lagrangian submanifold of Maslov index zero.

math.SG2010★ 7 cited

Frame ambiguity in Open Gromov-Witten invariants

Vito Iacovino

We consider Open Gromov-Witten invariants for noncompact Calabi-Yau in the case the Lagrangian has the topology of . The definition of the invariant involves the c…

math.SG2009★ 16 cited

Open Gromov-Witten theory on Calabi-Yau three-folds II

Vito Iacovino

We propose a general theory of the Open Gromov-Witten invariant on Calabi-Yau three-folds. In this paper we construct the Open Gromov-Witten potential. The evaluation of the potent…

math.SG2009★ 2 cited

Open Gromov-Witten theory on Calabi-Yau three-folds I

Vito Iacovino

We propose a general theory of the Open Gromov-Witten invariant on Calabi-Yau three-folds. We introduce the moduli space of multi-curves and show how it leads to invariants. Our co…

math.SG2008★ 2 cited

A simple proof of a theorem of Fukaya and Oh

Vito Iacovino

We study the moduli space of pseudo pointed holomorphic disks with boundaries mapped in the zero section of the cotangent bundle of a manifold. We define perturbations of the equat…

math.DG2008★ 4 cited

Master Equation and Perturbative Chern-Simons theory

Vito Iacovino

We extend the Chern-Simons perturbative invariant of Axelrod and Singer to non-acyclic connections. We construct a solution of the quantum master equation on the space of functions…