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Counting using Hall Algebras III. Quiver...

Fei, Jiarui...

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Counting using Hall Algebras III. Quivers with Potentials by Fei, Jiarui ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	25-08-2023
Summary	For a quiver with potential, we can associate a vanishing cycle to each representation space. If there is a nice torus action on the potential, the vanishing cycles can be expressed in terms of truncated Jacobian algebras. We study how these vanishing cycles change under the mutation of Derksen-Weyman-Zelevinsky. The wall-crossing formula leads to a categorification of quantum cluster algebras under some assumption. This is a special case of A. Efimov's result, but our approach is more concrete and down-to-earth. We also obtain a counting formula relating the representation Grassmannians under sink-source reflections.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1307.2667

Citation

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AMA 11th EditionReferences

Fei, Jiarui. Counting using Hall Algebras III. Quivers with Potentials. Australian National University. August 25, 2023. Accessed August 10, 2025. https://online.provdatabase.com/cite/20970

APA 7th EditionReferences

Fei, Jiarui. (2023). Counting using Hall Algebras III. Quivers with Potentials. Australian National University. https://online.provdatabase.com/cite/20970

Chicago 17th EditionReferences

Fei, Jiarui. Counting using Hall Algebras III. Quivers with Potentials. Australian National University. 2023. https://online.provdatabase.com/cite/20970

HarvardReferences

Fei, Jiarui. (2023). Counting using Hall Algebras III. Quivers with Potentials. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/20970. (Accessed 10 August 2025).

Harvard AustraliaReferences

Fei, Jiarui, 2023, Counting using Hall Algebras III. Quivers with Potentials, Australian National University, viewed 10 August 2025, <https://online.provdatabase.com/cite/20970>

MLA 9th EditionWorks Cited

Fei, Jiarui. Counting using Hall Algebras III. Quivers with Potentials. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/20970.

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