Search for dissertations about: "cohomology"
Showing result 1 - 5 of 41 swedish dissertations containing the word cohomology.
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1. Cohomology of arrangements and moduli spaces
Abstract : This thesis mainly concerns the cohomology of the moduli spaces ℳ3[2] and ℳ3,1[2] of genus 3 curves with level 2 structure without respectively with a marked point and some of their natural subspaces. A genus 3 curve which is not hyperelliptic can be realized as a plane quartic and the moduli spaces ?[2] and ?1[2] of plane quartics without respectively with a marked point are given special attention. READ MORE
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2. Low-dimensional cohomology of current Lie algebras
Abstract : We deal with low-dimensional homology and cohomology of current Lie algebras, i.e., Lie algebras which are tensor products of a Lie algebra L and an associative commutative algebra A. READ MORE
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3. Stacky Modifications and Operations in the Étale Cohomology of Number Fields
Abstract : This thesis consists of 4 papers. In Paper A we define stacky building data for stacky covers in the spirit of Pardini and give an equivalence of (2,1)- categories between the category of stacky covers and the category of stacky building data. READ MORE
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4. A Cubical Formalisation of Cohomology Theory and π4(S3) ≅ Z/2Z
Abstract : .... READ MORE
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5. Cohomology of the moduli space of curves of genus three with level two structure
Abstract : In this thesis we investigate the moduli space M3[2] of curves of genus 3 equipped with a symplectic level 2 structure. In particular, we are interested in the cohomology of this space. We obtain cohomological information by decomposing M3[2] into a disjoint union of two natural subspaces, Q[2] and H3[2], and then making S7- resp. READ MORE