Research
On-device research index

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.

168,657 papers · 148 categories

Trend · papers per month

count% of corpus
0111 · Apr 200819922001200920172026
3 results for “Igusa-Klein”
A comparison between the Bismut-Lott torsion and the Igusa-Klein torsionmath.DG

The paper compares two torsion invariants in complex vector bundles.

problem Comparing two torsion invariants in complex vector bundles.
method Constructing Bismut-Lott analytic torsion classes and showing they coincide with Igusa-Klein torsions.
result Bismut-Lott analytic torsion classes coincide with Igusa-Klein torsions for trivial flat line bundles.
torsion invariantscomplex vector bundlesBismut-Lott analytic torsionIgusa-Klein torsionCheeger-Müller theorem
2021-05-25abs ↗pdf ↗
A remark on the higher torsion invariants for flat vector bundles with finite holonomymath.DG

Equivalence proven between two torsion invariants for flat vector bundles.

problem Equivalence of Igusa-Klein and Bismut-Lott torsion invariants for flat vector bundles.
method Reduction to trivial flat line bundles using Artin's induction theorem.
result Igusa-Klein and Bismut-Lott torsion invariants are equivalent for flat vector bundles with finite holonomy.
torsion invariantsflat vector bundlesArtin's induction theoremIgusa-KleinBismut-Lott
2022-03-04abs ↗pdf ↗