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- Nicolas M. Addington, Edward P. Segal, Eric R. Sharpe
- 2012

This paper describes D-brane probes of theories arising in abelian gauged linear sigma models (GLSMs) describing branched double covers and noncommutative resolutions thereof, via nonperturbative effects rather than as the critical locus of a superpotential. As these theories can be described as IR limits of Landau-Ginzburg models, technically this paper is… (More)

We define sheaves on a singular quadricQ that generalize the spinor bundles on smooth quadrics, using matrix factorizations of the equation of Q. We study the first properties of these spinor sheaves, prove an analogue of Horrocks’ criterion, and show that they are semi-stable, and indeed stable in some cases.

We give a new proof of the ‘Pfaffian-Grassmannian’ derived equivalence between certain pairs of non-birational Calabi–Yau threefolds. Our proof follows the physical constructions of Hori and Tong, and we factor the equivalence into three steps by passing through some intermediate categories of (global) matrix factorizations. The first step is global Knörrer… (More)

2 Graphs with One Interior Node 2 2.1 Basic Recovery Technique . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 2.2 Example: The Kite . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.3 Quadrilaterals: A Pictorial Tool . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3… (More)

- Nicolas Addington, Will Donovan, Ciaran Meachan
- J. London Math. Society
- 2016

The derived category of a general complete intersection of four quadrics in P has a semi-orthogonal decomposition 〈O(−2n + 9), . . . ,O(−1),O,D〉, where D is the derived category of twisted sheaves on a certain non-algebraic complex 3-fold coming from a moduli problem. In particular, when n = 4 we obtain a (twisted) derived equivalence of Calabi-Yau 3-folds… (More)

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