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Recent Submissions

  • Embedded contact knot homology and a surgery formula 

    Brown, Thomas Alexander Gordon (2018-10-20)
    Embedded contact homology is an invariant of closed oriented contact 3-manifolds first defined by Hutchings, and is isomorphic to both Heegard Floer homology (by the work of Colin, Ghiggini and Honda) and Seiberg-Witten ...
  • Extremal Combinatorics and Universal Algorithms 

    David, Stefan (2018-10-15)
    In this dissertation we solve several combinatorial problems in different areas of mathematics: automata theory, combinatorics of partially ordered sets and extremal combinatorics. Firstly, we focus on some new automata ...
  • D-cap modules on rigid analytic spaces 

    Bode, Andreas (2018-07-20)
    Following the notion of $p$-adic analytic differential operators introduced by Ardakov--Wadsley, we establish a number of properties for coadmissible $\wideparen{\mathcal{D}}$-modules on rigid analytic spaces. Our main ...
  • Automorphism Groups of Quadratic Modules and Manifolds 

    Friedrich, Nina (2018-07-20)
    In this thesis we prove homological stability for both general linear groups of modules over a ring with finite stable rank and unitary groups of quadratic modules over a ring with finite unitary stable rank. In particular, ...

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