Algorithmic compression of surface automorphisms.
A.J., Long, D.D. Casson (1985)
Inventiones mathematicae
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A.J., Long, D.D. Casson (1985)
Inventiones mathematicae
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We introduce a notion of a Fox pairing in a group algebra and use Fox pairings to define automorphisms of the Malcev completions of groups. These automorphisms generalize to the algebraic setting the action of the Dehn twists in the group algebras of the fundamental groups of surfaces. This work is inspired by the Kawazumi–Kuno generalization of the Dehn twists to non-simple closed curves on surfaces.
Klaus Schmidt, Tom Ward (1993)
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We show that a complex normal surface singularity admitting a contracting automorphism is necessarily quasihomogeneous. We also describe the geometry of a compact complex surface arising as the orbit space of such a contracting automorphism.
I. Dolgachev (1984)
Inventiones mathematicae
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