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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

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3 results for “phi-invariant”

Asymptotic Behavior of the Zhang--Kawazumi's phi-invariantmath.AG

Study continuity of phi-invariant for degenerating graphs.

problem Continuity of phi-invariant for degenerating graphs.

method Use Yuan--Zhang's adelic divisors and follow Yuan's globalization of phi-invariants.

result Asymptotic expression of Zhang--Kawazumi's invariants for Riemann surfaces near the boundary of the moduli space.

phi-invariant adelic divisors Riemann surfaces moduli space continuity

2023-06-10abs ↗pdf ↗

A note on the concordance invariants Upsilon and phimath.GT

New concordance invariants phi and phi_j are defined and studied.

problem Understanding the relationships between different concordance invariants.

method Defined and analyzed new invariants phi and phi_j, and provided recursive formulas.

result Found infinitely many knots with specific combinations of zero and nonzero phi invariant.

concordance invariants phi invariant torus knots linear independence

2020-07-22abs ↗pdf ↗

A note on the concordance invariant epsilonmath.GT

New family of knots with epsilon invariant nonzero despite Upsilon and phi being zero.

problem Comparing smooth concordance invariants.

method Building an infinite family of knots.

result Found knots with epsilon invariant nonzero but Upsilon and phi zero.

knot theory concordance invariants epsilon invariant

2020-07-23abs ↗pdf ↗