Resonance of basis-conjugating automorphism groups

Abstract

We determine the structure of the first resonance variety of the cohomology ring of the group of automorphisms of a finitely generated free group which act by conjugation on a given basis.

7 pages

References in corpus (3)

• Characteristic varieties of arrangements
• Algebraic invariants for right-angled Artin groups
• The integral cohomology of the group of loops

Cited by in corpus (4)

• Chen ranks and resonance
• The pure braid groups and their relatives
• Chen ranks and resonance varieties of the upper McCool groups
• The BNS-invariant for the pure braid groups