Dimer Models and Calabi-Yau Algebras (Memoirs of the American Mathematical Society 1011) by Nathan Broomhead (PDF)

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Ebook Info

  • Published: 2012
  • Number of pages: 86 pages
  • Format: PDF
  • File Size: 0.75 MB
  • Authors: Nathan Broomhead

Description

Uses techniques from algebraic geometry and homological algebra, together with ideas from string theory to construct a class of 3-dimensional Calabi-Yau algebras. The Calabi-Yau property appears throughout geometry and string theory and is increasingly being studied in algebra. This further shows that the algebras constructed are examples of non-commutative crepant resolutions (NCCRs), in the sense of Van den Bergh, of Gorenstein affine toric threefolds.

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