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A note on (co)homologies of algebras from unpunctured surfaces

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journal contribution
posted on 20.05.2019, 10:22 by Yadira Valdivieso-Díaz
In a previous paper, the author computed the dimension of Hochschild cohomology groups of Jacobian algebras from (unpunctured) triangulated surfaces, and gave a geometric interpretation of those numbers in terms of the number of internal triangles, the number of vertices and the existence of certain kind of boundaries. The aim of this note is to compute the cyclic (co)homology and the Hochschild homology of the same family of algebras and to give an interpretation of those dimensions through elements of the triangulated surface.

History

Citation

Journal of Algebra and Its Applications, 2018, 17 (05), 1850088

Author affiliation

/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of Mathematics

Version

AM (Accepted Manuscript)

Published in

Journal of Algebra and Its Applications

Publisher

World Scientific Publishing

issn

0219-4988

eissn

1793-6829

Acceptance date

12/04/2017

Copyright date

2017

Available date

20/05/2019

Publisher version

https://www.worldscientific.com/doi/abs/10.1142/S0219498818500883

Language

en