GromovWitten Computation using GPI-Space

A powerful package for computing generating series for tropical Hurwitz numbers of elliptic curves via mirror symmetry and Feynman integrals.

📋 Table of Contents

• Overview
• Features
• Installation
• Usage
• License

🌟 Overview

The GromovWitten package provides a comprehensive solution for computing generating series for tropical Hurwitz numbers of elliptic curves through mirror symmetry and Feynman integrals. Through a correspondence theorem, it also determines Hurwitz numbers in the context of algebraic geometry.

Features

• Computation of generating series for tropical Hurwitz numbers
• Integration with GPI-Space for Feynman integral computations
• Support for Gromov-Witten invariants calculation
• C++ and XML implementation for high performance

🚀 Installation

Prerequisites

• Modern C++ compiler (C++17 or later)
• GPI-Space (version 24.12)
• Flint library

Installing Dependencies

1. Install Spack package manager following the official instructions
2. Install required packages:

spack install [email protected]
spack install flint

Installing GromovWitten

1. Clone the repository:

git clone https://github.com/singular-gpispace/gspc-gromovwitten.git
cd gspc-gromovwitten

2. Configure the build:

   • Modify CMakeLists.txt and install.sh to include paths to GPI-Space and flint libraries

3. Launch GPI-Space monitor (required for logging):

spack load [email protected]
gspc-monitor --port 9876 &

4. Run the installation:

./install.sh

💻 Usage

Before running any GPI-Space application, ensure the logger service is running. The application requires the following command-line arguments:

• --log-host: Hostname for the logger service (usually "localhost")
• --log-port: Port number for the logger service
• --gspc-home: Path to GPI-Space installation
• --nodefile: Path to file containing hostnames
• --rif-strategy: Strategy for bootstrapping (usually "ssh")
• --topology: Worker configuration (format: "worker-name:num-workers")

Example: Computing Feynman Integral

Compute the Feynman Integral of degree d=4:

time ~/gpi/try_gpi/gspc-gromovwitten/bin/bin/feynman \
  --gspc-home ~/singular-gpispace/spack/opt/spack/linux-ubuntu22.04-skylake/gcc-11.3.0/gpi-space-24.12-jz6b4m6ql54fmhkpq6gbico2neic3kd5/ \
  --nodefile ~/gpi/try_gpi/gspc-gromovwitten/nodefile \
  --rif-strategy ssh \
  --topology "worker:7" \
  --N 6 \
  --degree 4 \
  --graph "{{1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}}" \
  --log-host localhost \
  --log-port 9876

Expected Output

When running the computation, you should see output similar to this:

I: starting base sdpa components on waas 36103 1596330...
I: starting top level gspc logging demultiplexer on waas
   => accepting registration on 'TCP: <<waas:45265>>, SOCKET: <<waas:\0bbe38>>'
I: starting agent: agent-waas 36103 1596330-0 on rif entry point waas 36103 1596330
I: starting worker workers (parent agent-waas 36103 1596330-0, 7/host, unlimited, 0 SHM) with parent agent-waas 36103 1596330-0 on rif entry point waas 36103 1596330
terminating drts-kernel on waas 36103 1596330: 1596378 1596366 1596354 1596372 1596360 1596348 1596384
terminating agent on waas 36103 1596330: 1596340
terminating logging-demultiplexer on waas 36103 1596330: 1596335
feynman_degree: 20736

Alternative Logging Setup

If you don't have access to the GPI-Space monitor GUI, you can redirect the output to a file:

# Create and redirect output to monitor.txt
rm -f monitor.txt && touch monitor.txt && \
cd /path/to/gpi-space/bin && \
stdbuf -oL -eL ./gspc-logging-to-stdout.exe --port 9876 >> monitor.txt 2>&1

📄 License

This project is licensed under the MIT License - see the LICENSE file for details.

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_{Built with ❤️ by the GromovWitten team}