Poincaré–Birkhoff–Witt Deformation of Koszul Calabi–Yau Algebras

[1]  Y. Zhang,et al.  Cocommutative Calabi–Yau Hopf algebras and deformations , 2009, 0906.1911.

[2]  R. Berger Gerasimov's theorem and N‐Koszul algebras , 2008, 0801.3383.

[3]  Ed Segal The A∞ Deformation Theory of a Point and the Derived Categories of Local Calabi-Yaus , 2008 .

[4]  S. Mozgovoy,et al.  On the noncommutative Donaldson-Thomas invariants arising from brane tilings , 2008, 0809.0117.

[5]  M. Bergh,et al.  Some Algebras Associated to Automorphisms of Elliptic Curves , 2007 .

[6]  V. Ginzburg Calabi-Yau algebras , 2006, math/0612139.

[7]  Roland Berger,et al.  Poincaré-Birkhoff-Witt deformations of Calabi-Yau algebras , 2006, math/0610112.

[8]  I. Reiten,et al.  Fomin-Zelevinsky mutation and tilting modules over Calabi-Yau algebras , 2006, math/0605136.

[9]  James J. Zhang,et al.  Dualising complexes and twisted Hochschild (co)homology for noetherian Hopf algebras , 2006, math/0603732.

[10]  R. Bocklandt Graded Calabi Yau algebras of dimension 3 , 2006, math/0603558.

[11]  T. Cassidy,et al.  PBW-deformation theory and regular central extensions , 2006, math/0603375.

[12]  I. Reiten,et al.  Cluster-tilted algebras are Gorenstein and stably Calabi–Yau , 2005, math/0512471.

[13]  K. Costello Topological conformal field theories and Calabi–Yau categories , 2004, math/0412149.

[14]  C. Weibel,et al.  An Introduction to Homological Algebra: References , 1960 .

[15]  C. N. Yang String field theory and brane superpotentials , 2001 .

[16]  V. Ginzburg,et al.  Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism , 2000, math/0011114.

[17]  Amnon Yekutieli The rigid dualizing complex of a universal enveloping algebra , 1998, math/9810016.

[18]  William Crawley-Boevey,et al.  NONCOMMUTATIVE DEFORMATIONS OF KLEINIAN SINGULARITIES , 1998 .

[19]  James J. Zhang,et al.  Rings with Auslander Dualizing Complexes , 1998, math/9804005.

[20]  M. Bergh Existence Theorems for Dualizing Complexes over Non-commutative Graded and Filtered Rings , 1997 .

[21]  M. Bergh,et al.  Central extensions of three dimensional Artin-Schelter regular algebras , 1996 .

[22]  Wolfgang Soergel,et al.  Koszul Duality Patterns in Representation Theory , 1996 .

[23]  James J. Zhang,et al.  Noncommutative Projective Schemes , 1994 .

[24]  D. Gaitsgory,et al.  Poincaré–Birkhoff–Witt Theorem for Quadratic Algebras of Koszul Type , 1994, hep-th/9411113.

[25]  Amnon Yekutieli Dualizing complexes over noncommutative graded algebras , 1992 .

[26]  Thierry Levasseur,et al.  Some properties of non-commutative regular graded rings , 1992, Glasgow Mathematical Journal.

[27]  C. Kassel L'homologie cyclique des algèbres enveloppantes , 1988 .

[28]  William F. Schelter,et al.  Graded algebras of global dimension 3 , 1987 .

[29]  C. Nastasescu,et al.  Graded ring theory , 1982 .

[30]  T. Gulliksen A note on the Poincaré series of a local ring , 1969 .

[31]  R. Sridharan,et al.  Filtered algebras and representations of Lie algebras , 1961 .