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Laplacians for generic simplicial sets #94

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lukem12345 opened this issue May 31, 2024 · 2 comments
Open

Laplacians for generic simplicial sets #94

lukem12345 opened this issue May 31, 2024 · 2 comments
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enhancement New feature or request good first issue Good for newcomers

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@lukem12345
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Currently, we offer two versions of the Laplace operator - de Rham and Beltrami - for each form and each dimension of delta dual complex.

However, we do not generate Laplacians for simplicial sets. This is useful for doing things like opinion dynamics.

We should use our boundary and coboundary matrices to generate Laplacians for simplicial sets, even those without metric information available.

@lukem12345 lukem12345 added the enhancement New feature or request label May 31, 2024
@jpfairbanks
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Is this just

A = boundary(X)*coboundary(X)
L = diag(A) - A

@lukem12345
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Yes

@jpfairbanks jpfairbanks added the good first issue Good for newcomers label Jun 12, 2024
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Labels
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