Linked Exact Triples of Triangulated Categories and a Calculus of t-Structures

Michael Berg

Linked Exact Triples of Triangulated Categories and a Calculus of t-Structures

Research output: Contribution to journal › Article › peer-review

Abstract

We introduce a new formalism of exact triples of triangulated categories arranged in certain types of diagrams. We prove that these arrangements are well-behaved relative to the process of gluing and ungluing t -structures defined on the indicated categories and we connect our con. structs to· a problem (from number theory) involving derived categories. We also briefly address a possible connection with a result of R. Thomason.

Original language	American English
Pages (from-to)	117-138
Journal	International Journal of Pure and Applied Mathematics
Volume	32
Issue number	1
State	Published - 2006

Keywords

exact triples of triangulated categories
t-structures

Disciplines

Algebraic Geometry
Geometry and Topology

Access to Document

https://digitalcommons.lmu.edu/math_fac/73

Cite this

@article{22d28ecf3324439da00d6f324742a81b,

title = "Linked Exact Triples of Triangulated Categories and a Calculus of t-Structures",

abstract = " We introduce a new formalism of exact triples of triangulated categories arranged in certain types of diagrams. We prove that these arrangements are well-behaved relative to the process of gluing and ungluing t -structures defined on the indicated categories and we connect our con. structs to· a problem (from number theory) involving derived categories. We also briefly address a possible connection with a result of R. Thomason.",

keywords = "exact triples of triangulated categories, t-structures",

author = "Michael Berg",

note = "Berg, Michael. “Linked Exact Triples of Triangulated Categories and a Calculus of t-Structures,” International Journal of Pure and Applied Mathematics, 32(01), 2006, 117-138.",

year = "2006",

language = "American English",

volume = "32",

pages = "117--138",

journal = "International Journal of Pure and Applied Mathematics",

number = "1",

}

TY - JOUR

T1 - Linked Exact Triples of Triangulated Categories and a Calculus of t-Structures

AU - Berg, Michael

N1 - Berg, Michael. “Linked Exact Triples of Triangulated Categories and a Calculus of t-Structures,” International Journal of Pure and Applied Mathematics, 32(01), 2006, 117-138.

PY - 2006

Y1 - 2006

N2 - We introduce a new formalism of exact triples of triangulated categories arranged in certain types of diagrams. We prove that these arrangements are well-behaved relative to the process of gluing and ungluing t -structures defined on the indicated categories and we connect our con. structs to· a problem (from number theory) involving derived categories. We also briefly address a possible connection with a result of R. Thomason.

AB - We introduce a new formalism of exact triples of triangulated categories arranged in certain types of diagrams. We prove that these arrangements are well-behaved relative to the process of gluing and ungluing t -structures defined on the indicated categories and we connect our con. structs to· a problem (from number theory) involving derived categories. We also briefly address a possible connection with a result of R. Thomason.

KW - exact triples of triangulated categories

KW - t-structures

M3 - Article

VL - 32

SP - 117

EP - 138

JO - International Journal of Pure and Applied Mathematics

JF - International Journal of Pure and Applied Mathematics

IS - 1

ER -