Good Moduli Spaces in Derived Algebraic Geometry
, 2023 38 pages. Comments welcome!
Eric Ahlqvist +3 more
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Brave New Algebraic Geometry and global derived moduli spaces of ring spectra [PDF]
, 2007 29 pages; some corrections and a new ...
Bertrand Toën, Gabriele Vezzosi
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Gromov-Witten theory with derived algebraic geometry [PDF]
, 2018 37 pages, first ...
Étienne Mann, Marco Robalo
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Graded algebras, projective spectra and blow-ups in derived algebraic geometry
, 2021 60 pages.
Jeroen Hekking
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Derived algebraic geometry, determinants of perfect complexes, and applications to obstruction theories for maps and complexes [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2013 Abstract A quasi-smooth derived enhancement of a Deligne–Mumford stack 𝒳 naturally endows 𝒳 with a functorial perfect obstruction theory in the sense of Behrend–Fantechi. We apply this result to moduli of maps and perfect complexes on a smooth complex projective variety.
Timo Schürg +2 more
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Derived Algebraic Geometry V: Structured Spaces
, 2009 In this paper, we describe a general theory of "spaces with structure sheaves." Specializations of this theory include the classical theory of schemes, the theory of Deligne-Mumford stacks, and their derived generalizations.
Jacob Lurie
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A note on Chern character, loop spaces and derived algebraic geometry
, 2008 In this note we present a work in progress whose main purpose is to establish a categorified version of sheaf theory. We present a notion of derived categorical sheaves, which is a categorified version of the notion of complexes of sheaves of modules on schemes, as well as its quasi-coherent and perfect versions.
Bertrand Toën, Gabriele Vezzosi
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ADM-like Hamiltonian formulation of gravity in the teleparallel geometry: derivation of constraint algebra [PDF]
General Relativity and Gravitation, 2013 We derive a new constraint algebra for a Hamiltonian formulation of the Teleparallel Equivalent of General Relativity treated as a theory of cotetrad fields on a spacetime. The algebra turns out to be closed.
Andrzej Okołów
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Derived algebraic geometry of 2d lattice Yang-Mills theory [PDF]
25 ...
Marco Benini +2 more
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An introduction to derived (algebraic) geometry [PDF]
Rendiconti di Matematica e delle Sue ApplicazioniMostly aimed at an audience with backgrounds in geometry and homological algebra, these notes offer an introduction to derived geometry based on a lecture course given by the second author.
Jon Eugster, Jonathan Pridham
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