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math.GT2026
Underlying Stokes and de Rham structures for Arnold-type invariants
Noboru Ito, Hiroki Mizuno
We introduce a framework on dual complexes for studying Arnold-type invariants of immersed curves and immersed surfaces via local finite-difference structures associated with Alexa…
math.GT2026
An explicit slice formula for surface invariants via curve invariants
Noboru Ito, Hiroki Mizuno
We give an explicit slice formula for a surface invariant of generic immersions in , expressed in terms of curve invariants arising from planar slices. Using a motion…