Fetching the paper…
Reading the bibliography…
We study the behavior of a dimer model under the operation of removing a corner from the lattice polygon and taking the convex hull of the rest.
R. J. Duffin, Potential theory on a rhombic lattice , J. Combinatorial Theory 5
1968
Earlier work this paper cites.
Robin Hartshorne, Algebraic geometry , Springer-Verlag, New York, 1977, Graduate Texts in Mathematics, No. 52. MR 0463157 (57 #3116)
1977
Earlier work this paper cites.
Rodney J. Baxter, Exactly solved models in statistical mechanics , Academic Press Inc. [Harcourt Brace Jovanovich Publishers], London, 1989, Reprint of the 1982 original. MR 998375 (90b:82001)
1982
Earlier work this paper cites.
Hélène Esnault, Reflexive modules on quotient surface singularities , J. Reine Angew. Math. 362
1985
Earlier work this paper cites.
J. Wunram, Reflexive modules on cyclic quotient surface singularities , Singularities, representation of algebras, and vector bundles (Lambrecht, 1985), Lecture Notes in Math., vol. 1273, Springer, Berlin, 1987, pp. 221–231. MR MR915177 (88m:14023)
1987
Earlier work this paper cites.
Jürgen Wunram, Reflexive modules on quotient surface singularities , Math. Ann. 279
1988
Earlier work this paper cites.
A. I. Bondal, Representations of associative algebras and coherent sheaves , Izv. Akad. Nauk SSSR Ser. Mat. 53
1989
Earlier work this paper cites.
Jeremy Rickard, Morita theory for derived categories , J. London Math. Soc. (2) 39
1989
Earlier work this paper cites.
A. D. King, Moduli of representations of finite-dimensional algebras , Quart. J. Math. Oxford Ser. (2) 45
1994
Earlier work this paper cites.
Yukari Ito and Hiraku Nakajima, McKay correspondence and Hilbert schemes in dimension three , Topology 39
2000
Earlier work this paper cites.
M. Kapranov and E. Vasserot, Kleinian singularities, derived categories and Hall algebras , Math. Ann. 316
2000
Earlier work this paper cites.
Tom Bridgeland, Alastair King, and Miles Reid, The McKay correspondence as an equivalence of derived categories , J. Amer. Math. Soc. 14
2001
Cited alongside, same era.
Christian Mercat, Discrete Riemann surfaces and the Ising model , Comm. Math. Phys. 218
2001
Cited alongside, same era.
Iku Nakamura, Hilbert schemes of abelian group orbits , J. Algebraic Geom. 10
2001
Cited alongside, same era.
Tom Bridgeland, Flops and derived categories , Invent. Math. 147
2002
Cited alongside, same era.
Alastair Craw and Miles Reid, How to calculate A A -Hilb ℂ 3 \mathbb{C}^{3} , Geometry of toric varieties, Sémin. Congr., vol. 6, Soc. Math. France, Paris, 2002, pp. 129–154. MR MR2075608 (2005d:14004)
2002
Cited alongside, same era.
Victor Ginzburg, Calabi-Yau algebras , math.AG/0612139, 2006
2006
Later among the works it cites.
Amihay Hanany and David Vegh, Quivers, tilings, branes and rhombi , J. High Energy Phys. (2007), no. 10, 029, 35. MR MR2357949
2007
Later among the works it cites.
Kristian D. Kennaway, Brane tilings , Internat. J. Modern Phys. A 22
2007
Later among the works it cites.
Daniel R. Gulotta, Properly ordered dimers, R R -charges, and an efficient inverse algorithm , J. High Energy Phys. (2008), no. 10, 014, 31. MR MR2453031 (2010b:81116)
2008
Later among the works it cites.
Sergey Mozgovoy and Markus Reineke, On the noncommutative Donaldson-Thomas invariants arising from brane tilings , Adv. Math. 223
2010
Closest in time.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Akira Ishii, On the McKay correspondence for a finite small subgroup of GL ( 2 , ℂ ) {\rm GL}(2,\mathbb{C}) , J. Reine Angew. Math. 549
2002
Cited alongside, same era.
Richard Kenyon, An introduction to the dimer model , School and Conference on Probability Theory, ICTP Lect. Notes, XVII, Abdus Salam Int. Cent. Theoret. Phys., Trieste, 2004, pp. 267–304 (electronic). MR MR2198850 (2006k:82033)
2004
Cited alongside, same era.
Michel van den Bergh, Non-commutative crepant resolutions , The legacy of Niels Henrik Abel, Springer, Berlin, 2004, pp. 749–770. MR MR2077594 (2005e:14002)
2004
Cited alongside, same era.
Michel Van den Bergh, Three-dimensional flops and noncommutative rings , Duke Math. J. 122
2004
Cited alongside, same era.
Richard Kenyon and Jean-Marc Schlenker, Rhombic embeddings of planar quad-graphs , Trans. Amer. Math. Soc. 357
2005
Cited alongside, same era.
Sebastián Franco and David Vegh, Moduli spaces of gauge theories from dimer models: proof of the correspondence , J. High Energy Phys. (2006), no. 11, 054, 26 pp. (electronic). MR MR2270405 (2007j:81161)
2006
Cited alongside, same era.
A. Bondal and D. Orlov, Semiorthogonal decomposition for algebraic varieties , arXiv:alg-geom/9506012
Cited in the paper.
2011
Closest in time.
Ben Davison, Consistency conditions for brane tilings , J. Algebra 338
2011
Closest in time.
Michael Wemyss, The GL ( 2 , ℂ ) {\rm GL}(2,\mathbb{C}) McKay correspondence , Math. Ann. 350
2011
Closest in time.
Raf Bocklandt, Consistency conditions for dimer models , Glasg. Math. J. 54
2012
Closest in time.
Nathan Broomhead, Dimer models and Calabi-Yau algebras , Mem. Amer. Math. Soc. 215
2012
Closest in time.