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Gluing Silting Objects

Published online by Cambridge University Press:  11 January 2016

Qunhua Liu ,
Jorge Vitória  and
Dong Yang
Qunhua Liu
Affiliation:
Institute of Mathematics, School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023, People’s Republic of China, 05402@njnu.edu.cn
Jorge Vitória
Affiliation:
Department of Computer Science—Sector of Mathematics, University of Verona, I-37134 Verona, Italy, jorge.vitoria@univr.it
Dong Yang
Affiliation:
Department of Mathematics, Nanjing University, Nanjing 210093, People’s Republic of China, dongyang2002@gmail.com
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Abstract

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Recent results by Keller and Nicolás and by Koenig and Yang have shown bijective correspondences between suitable classes of t-structures and cot-structures with certain objects of the derived category: silting objects. On the other hand, the techniques of gluing (co-)t-structures along a recollement play an important role in the understanding of derived module categories. Using the above correspondence with silting objects, we present explicit constructions of gluing of silting objects, and, furthermore, we answer the question of when the glued silting is tilting.

Keywords

16E3518E30
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 216 , 2014 , pp. 117 - 151
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2014

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