14 citations · 28 across the 8 of their papers we have counts for
10 papers
Gluing Approximable Triangulated Categories
Jesse Burke, Amnon Neeman, Bregje Pauwels
Given a bounded-above cochain complex of modules over a ring, it is standard to replace it by a projective resolution, and it is classical that doing so can be very useful. Recentl…
Transfer of A-infinity structures to projective resolutions
Jesse Burke
We show that an A-infinity algebra structure can be transferred to a projective resolution of the complex underlying any A-infinity algebra. Under certain connectedness assumptions…
Strictly unital A-infinity algebras
Jesse Burke
Given a graded module over a commutative ring, we define a dg-Lie algebra whose Maurer-Cartan elements are the strictly unital A-infinity algebra structures on that module. We use…
Higher homotopies and Golod rings
Jesse Burke
We study the homological algebra of an R = Q/I module M using A-infinity structures on Q-projective resolutions of R and M. We use these higher homotopies to construct an R-project…
The derived category of a graded Gorenstein ring
Jesse Burke, Greg Stevenson
We give an exposition and generalization of Orlov's theorem on graded Gorenstein rings. We show the theorem holds for non-negatively graded rings which are Gorenstein in an appropr…
Building modules from the singular locus
Jesse Burke, Lars Winther Christensen, Ryo Takahashi
A finitely generated module over a commutative noetherian ring of finite Krull dimension can be built from the prime ideals in the singular locus by iteration of three procedures:…