Orlov spectra as a filtered cohomology theory
Ludmil Katzarkov, Gabriel Kerr
TL;DR
This paper introduces a novel approach to studying the dimension theory and Orlov spectra of triangulated categories through natural filtrations in the pretriangulated setting.
Contribution
It proposes a new filtered cohomology framework for analyzing Orlov spectra in triangulated categories, advancing the theoretical understanding.
Findings
New filtration-based method for Orlov spectra
Enhanced understanding of dimension theory in triangulated categories
Framework applicable to various categories in algebraic geometry
Abstract
This paper presents a new approach to the dimension theory and Orlov spectra of triangulated categories by considering natural filtrations that arise in the pretriangulated setting.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra