The topological period-index conjecture
Benjamin Antieau, Ben Williams
TL;DR
This paper proves a topological version of the period-index conjecture across various dimensions, excluding a few primes, advancing understanding in algebraic topology and related fields.
Contribution
It establishes the topological analogue of the period-index conjecture in multiple dimensions, excluding a small set of primes, providing new insights into topological invariants.
Findings
Proved the topological period-index conjecture in most dimensions.
Identified exceptions related to a small set of primes.
Enhanced understanding of topological invariants and their relationships.
Abstract
We prove the topological analogue of the period-index conjecture in each dimension away from a small set of primes.
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Taxonomy
TopicsAdvanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models