Computing the Hopf invariant
Oleg R. Musin, Timur Shamazov
TL;DR
This paper presents an algorithm based on Whitehead's integral formula for computing the Hopf invariant of simplicial mappings, facilitating practical calculations in algebraic topology.
Contribution
It introduces a novel algorithm that applies Whitehead's integral formula specifically to simplicial mappings for efficient Hopf invariant computation.
Findings
Algorithm successfully computes Hopf invariants for various examples.
Provides a practical tool for topologists working with simplicial complexes.
Enhances computational methods in algebraic topology.
Abstract
We consider Whitehead's integral formula and propose an algorithm for computing the Hopf invariant for simplicial mappings.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Holomorphic and Operator Theory · Algebraic and Geometric Analysis