no. 1
Tropical coefficient dynamics for higher-dimensional cluster categories
Oppermann, Steffen1 ; Thomas, Hugh2  
1 Department of Mathematical Sciences, Norwegian University of Science and Technology, Postboks 8900, 7491 Trondheim, Norway
2 Département de mathématiques, Université du Québec à Montréal, CP 8888, Succursale Centreville, Montréal QC H3C 3P8, Canada
Annals of Representation Theory, Volume 3 (2026) no. 1, pp. 1-25

We show that the index in higher-dimensional cluster categories mutates according to a higher-dimensional version of tropical coefficient dynamics.

Received:
Revised:
Accepted:
Published online:
DOI: 10.5802/art.33
Classification: 16E35, 13F60
Keywords: higher-dimensional cluster categories, coefficient dynamics

Oppermann, Steffen 1; Thomas, Hugh 2

1 Department of Mathematical Sciences, Norwegian University of Science and Technology, Postboks 8900, 7491 Trondheim, Norway
2 Département de mathématiques, Université du Québec à Montréal, CP 8888, Succursale Centreville, Montréal QC H3C 3P8, Canada
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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Oppermann, Steffen; Thomas, Hugh. Tropical coefficient dynamics for higher-dimensional cluster categories. Annals of Representation Theory, Volume 3 (2026) no. 1, pp. 1-25. doi: 10.5802/art.33

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