Immersed Curves and -Algebras

-algebra associated to a signed Gauss word and grading choice, and calculates the associated flat deformations of endomorphisms.

(only -deformations via bounding cochains; these give all radical square zero algebras.)

(Based on arXiv:2605.00715)

1. Gauss Word

Presets (Table 1)

Signed Gauss Word

Invalid word. Each integer from 1 to r-1 must appear exactly twice: once with '+' and once with '-'.

Topological Invariants

2. Gradings

3. Visualization

Immersed Curve

Chord Diagram

No valid non-unit elements to evaluate.

Degree 0 Generators ()

Degree 1 Generators ()

Set Bounding Cochain Parameters ()

If you manage to kill , you will get a quiver!

No valid degree 1 generators available.

5. Radical Square Zero Quiver Graph

Vertices correspond to idempotents (gray dot represents the idempotent while the yellow dots represent idempotents coming from the bounding cochain). Directed arrows correspond to the basis elements of the radical.