Homological Algebra Modulo a Regular Sequence with Special Attention to Codimension Two

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Support varieties and cohomology over complete intersections (2000, methodology): “A major role in our investigation is played by an action on Ext∗ R(M, N) of a graded polynomial ring, introduced by Gulliksen in [21] and studied by Eisenbud, Gasharov, Mehta, Peeva, Sun, and the authors, cf. [5], [ 7 ], [8], [9], [16], [26].”
Phases Of N=2 Theories In 1+1 Dimensions With Boundary (2008, methodology): “We would like to thank Denis Auroux, Alexey Bondal, Ilka Brunner, Ragnar Buchweitz, Alastair Crow, David Eisenbud, Tohru Eguchi, Matthias Gaberdiel, Dongfeng Gao, Ezra Getzler, Paul Horja, Kazuo Hosomichi, Amer Iqbal, Misha Kapranov, Anton Kapustin, Ludmil Katzarkov, Kris Kennaway, Alastair King, Yi”
Local cohomology and support for triangulated categories (2007, methodology): “Let R be the ring of cohomology operators defined by the surjection Q → A, see [5, 9], and the paragraph below.”
Compact generators in categories of matrix factorizations (2009, methodology): “out the article, we give a detailed description of this special case. We point out that this construction already appears as a key technique in [BGS87, Section 2]. Its meaning was further clariﬁed in [AB00] via the use of dg modules over Koszul dg algebras. Let f1,...,fm be a regular sequence genera”