Vol. 8, No. 1, 2018

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Software for computing conformal block divisors on $\overline{M}_{0,n}$

David Swinarski

Vol. 8 (2018), 81–86

We introduce the packages LieTypes.m2 and ConformalBlocks.m2 for Macaulay2. LieTypes.m2 contains basic types for working with Lie algebras and Lie algebra modules. ConformalBlocks.m2 computes ranks and first Chern classes of vector bundles of conformal blocks on M¯0,n.

conformal blocks, fusion product, moduli of curves
Mathematical Subject Classification 2010
Primary: 14D21
Secondary: 14D22, 81T40
Supplementary material

LieTypes.m2 -- a Macaulay2 package containing functions for representation theory calculations

ConformalBlocks.m2 -- a Macaulay2 package for computing conformal block divisors

Received: 16 February 2014
Revised: 23 June 2018
Accepted: 2 August 2018
Published: 24 September 2018
David Swinarski
Department of Mathematics
Fordham University
New York
United States