Home > Research > Publications & Outputs > A geometric model for the module category of a ...

Research

Associated organisational units

Links

Text available via DOI:

View graph of relations

A geometric model for the module category of a string algebra

Research output: Working paper › Preprint

Unpublished

Standard

A geometric model for the module category of a string algebra. / Baur, Karin; Coelho Guardado Simoes, Raquel.
Arxiv, 2024.

Research output: Working paper › Preprint

Harvard

Baur, K & Coelho Guardado Simoes, R 2024 'A geometric model for the module category of a string algebra' Arxiv. https://doi.org/10.48550/arXiv.2403.07810

APA

Baur, K., & Coelho Guardado Simoes, R. (2024). A geometric model for the module category of a string algebra. Arxiv. https://doi.org/10.48550/arXiv.2403.07810

Vancouver

Baur K, Coelho Guardado Simoes R. A geometric model for the module category of a string algebra. Arxiv. 2024 Mar 12. doi: 10.48550/arXiv.2403.07810

Author

Baur, Karin ; Coelho Guardado Simoes, Raquel. / A geometric model for the module category of a string algebra. Arxiv, 2024.

Bibtex

@techreport{b08b5af5ef184d759da5e16b57ed38f2,
title = "A geometric model for the module category of a string algebra",
abstract = "In this paper, we give a geometric construction of string algebras and of their module categories. Our approach uses dissections of punctured Riemann surfaces with extra data at marked points, called labels. As an application, we give a classification of support tau-tilting modules in terms of arcs in such a tiled surface. In the case when the string algebra is gentle, we recover the classification given arXiv:2004.11136.",
author = "Karin Baur and {Coelho Guardado Simoes}, Raquel",
year = "2024",
month = mar,
day = "12",
doi = "10.48550/arXiv.2403.07810",
language = "English",
publisher = "Arxiv",
type = "WorkingPaper",
institution = "Arxiv",

}

RIS

TY - UNPB

T1 - A geometric model for the module category of a string algebra

AU - Baur, Karin

AU - Coelho Guardado Simoes, Raquel

PY - 2024/3/12

Y1 - 2024/3/12

N2 - In this paper, we give a geometric construction of string algebras and of their module categories. Our approach uses dissections of punctured Riemann surfaces with extra data at marked points, called labels. As an application, we give a classification of support tau-tilting modules in terms of arcs in such a tiled surface. In the case when the string algebra is gentle, we recover the classification given arXiv:2004.11136.

AB - In this paper, we give a geometric construction of string algebras and of their module categories. Our approach uses dissections of punctured Riemann surfaces with extra data at marked points, called labels. As an application, we give a classification of support tau-tilting modules in terms of arcs in such a tiled surface. In the case when the string algebra is gentle, we recover the classification given arXiv:2004.11136.

U2 - 10.48550/arXiv.2403.07810

DO - 10.48550/arXiv.2403.07810

M3 - Preprint

BT - A geometric model for the module category of a string algebra

PB - Arxiv

ER -