pyseifert

https://github.com/d-passaro/pyseifert

Science Score: 54.0%

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Last synced: 9 months ago · JSON representation ·

Repository

Basic Info

Host: GitHub
Owner: d-passaro
License: gpl-3.0
Language: Sage
Default Branch: main
Size: 114 KB

Statistics

Stars: 4
Watchers: 2
Forks: 1
Open Issues: 0
Releases: 0

Created over 4 years ago · Last pushed over 3 years ago

Metadata Files

Readme License Citation

pySeifert v. 1.0

A Sage module for the computation of $\hat{Z}$ invariants of Seifert manifolds with three and four singular fibers. PySeifert was developed as a companion to "3 Manifolds and VOA characters" ArXiv:2201.04640, to aide in the computation of topological invariants for Seifert manifolds and characters of certain vertex operator algebras.

Autors:

Miranda C. N. Cheng, Sungbong Chun, Boris Feigin, Francesca Ferrari, Sergei Gukov, Sarah M. Harrison, Davide Passaro

Key Features

PySeifert implements a Seifert class to represent Seifert manifolds with three or four sigular fibers with functions to compute: - Plumbing matrix - Lattice dilation factor - $m$, $\vec s$, $\vec k$ and Spin$^c$ structures - $\hat{Z}$ invariant integrand contributions, including, in the three singular fiber case when Wilson operators are attached to central, mid or end nodes. - $\hat{Z}$ invariants - Other quantities needed for the computation of the above, described in ArXiv:2201.04640.

PySeifert also includes functions for the computation of q-series associated to characters of Log-V(p) and Log-V(p,p') VOAs which were used to compare to the $\hat{Z}$ invariants and provide examples for the ArXiv:2201.04640.

How To Use

Clone the repository and load the PySeifert module in Sage using the load function from Sage: load("path/to/pySeifert.sage") Functions are documented in code, and running: help(function) will print some basic information and usage examples. Examples in the form of jupyter notebooks are also provided.

Requirements

This module has been tested using Sage version 9.6 interfaced through Python version 3.10.4. PySeifert requires numpy and itertools.

Owner

Login: d-passaro
Kind: user

Repositories: 2
Profile: https://github.com/d-passaro

Citation (CITATION.cff)

cff-version: 1.2.0
title: pySeifert
message: >-
  A Sage-Python toolkit for analyzing Seifert
  manifolds with three or four exceptional fibers.
type: software
authors:
  - given-names: Davide
    family-names: Passaro
    email: passaro.davide@protonmail.com
  - given-names: Miranda
    family-names: Cheng
  - given-names: Sungbong
    family-names: Chun
  - given-names: Boris
    family-names: Feigin
  - given-names: Francesca
    family-names: Ferrari
  - given-names: Sarah
    family-names: Harrison
  - given-names: Sergei
    family-names: Gukov

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