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      • Theses - Department of Mathematics
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      Free actions on CW-complexes and varieties of square zero matrices

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      Author(s)
      Şentürk, Berrin
      Advisor
      Ünlü, Özgün
      Date
      2011
      Publisher
      Bilkent University
      Language
      English
      Type
      Thesis
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      Abstract
      Gunnar Carlsson stated a conjecture which gives a lower bound on the rank of a differential graded module over a polynomial ring with coefficients in algebraically closed field k when it has a finite dimensional homology over k. Carlsson showed that this conjecture implies the rank conjecture about free actions on product of spheres. In this paper, to understand the Carlsson’s conjecture about differential graded modules, we study the structure of the variety of upper triangular square zero matrices and the techniques which were investigated by Rothbach to determine its irreducible components . We hope these varieties could help prove Carlsson’s conjecture.
      Keywords
      differential graded module
      free action
      variety
      Permalink
      http://hdl.handle.net/11693/15228
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      • Dept. of Mathematics - Master's degree 131
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