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Simple-minded systems and reduction for negative Calabi-Yau triangulated categories

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Simple-minded systems and reduction for negative Calabi-Yau triangulated categories. / Coelho Simoes, Raquel; Pauksztello, David.
In: Transactions of the American Mathematical Society, Vol. 373, No. 4, 01.04.2020, p. 2463-2498.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Coelho Simoes, R & Pauksztello, D 2020, 'Simple-minded systems and reduction for negative Calabi-Yau triangulated categories', Transactions of the American Mathematical Society, vol. 373, no. 4, pp. 2463-2498. https://doi.org/10.1090/tran/8002

APA

Coelho Simoes, R., & Pauksztello, D. (2020). Simple-minded systems and reduction for negative Calabi-Yau triangulated categories. Transactions of the American Mathematical Society, 373(4), 2463-2498. https://doi.org/10.1090/tran/8002

Vancouver

Coelho Simoes R, Pauksztello D. Simple-minded systems and reduction for negative Calabi-Yau triangulated categories. Transactions of the American Mathematical Society. 2020 Apr 1;373(4):2463-2498. Epub 2020 Jan 7. doi: 10.1090/tran/8002

Author

Coelho Simoes, Raquel ; Pauksztello, David. / Simple-minded systems and reduction for negative Calabi-Yau triangulated categories. In: Transactions of the American Mathematical Society. 2020 ; Vol. 373, No. 4. pp. 2463-2498.

Bibtex

@article{69ef14cddd61417a9e46b8831f61205a,
title = "Simple-minded systems and reduction for negative Calabi-Yau triangulated categories",
abstract = "We develop the basic properties of w-simple-minded systems in (-w)-Calabi-Yau triangulated categories for w≥1. We show that the theory of simple-minded systems exhibits striking parallels with that of cluster-tilting objects. The main result is a reduction technique for negative Calabi-Yau triangulated categories. Our construction provides an inductive technique for constructing simple-minded systems.",
author = "{Coelho Simoes}, Raquel and David Pauksztello",
year = "2020",
month = apr,
day = "1",
doi = "10.1090/tran/8002",
language = "English",
volume = "373",
pages = "2463--2498",
journal = "Transactions of the American Mathematical Society",
issn = "0002-9947",
publisher = "American Mathematical Society",
number = "4",

}

RIS

TY - JOUR

T1 - Simple-minded systems and reduction for negative Calabi-Yau triangulated categories

AU - Coelho Simoes, Raquel

AU - Pauksztello, David

PY - 2020/4/1

Y1 - 2020/4/1

N2 - We develop the basic properties of w-simple-minded systems in (-w)-Calabi-Yau triangulated categories for w≥1. We show that the theory of simple-minded systems exhibits striking parallels with that of cluster-tilting objects. The main result is a reduction technique for negative Calabi-Yau triangulated categories. Our construction provides an inductive technique for constructing simple-minded systems.

AB - We develop the basic properties of w-simple-minded systems in (-w)-Calabi-Yau triangulated categories for w≥1. We show that the theory of simple-minded systems exhibits striking parallels with that of cluster-tilting objects. The main result is a reduction technique for negative Calabi-Yau triangulated categories. Our construction provides an inductive technique for constructing simple-minded systems.

U2 - 10.1090/tran/8002

DO - 10.1090/tran/8002

M3 - Journal article

VL - 373

SP - 2463

EP - 2498

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

SN - 0002-9947

IS - 4

ER -