Sheaf Theoretic Approach to Lefschetz Calculus

Not yet reviewed by Pith; the record is open.

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2410.13653 v2 pith:7VRALEOO submitted 2024-10-17 math.AT

Alejandro O. Majadas-Moure , David Mosquera-Lois This is my paper

classification math.AT

keywords invariantlefschetzspacesalgebraicapproachcalculusdatalift

verification ladder T0 review T1 audit T2 compute T3 formal

0 comments

read the original abstract

We lift the Lefschetz number from an algebraic invariant of maps between spaces to an invariant of morphisms of data over the spaces.

Forward citations

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

A Combinatorial Study of the Fixed Point Index
math.AT 2025-05 reject novelty 5.0 of 10

The paper defines a combinatorial fixed point index as the classical index of the interior of a subspace, and develops integration theory with respect to it, generalizing the combinatorial Lefschetz number.