Awais Shaukat

Awais Shaukat
Abdus Salam School of Mathematical Sciences · Department of Mathematics

Doctor of Philosophy

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4
Publications
174
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Set Theory
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Nuclear Physics
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Elementary Particle Physics
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Publications

Publications (4)
Figure 1. Model for Σ.
Figure 2. The sign of a point on γ that is tangent to X.
Figure 3. The surface Σ is obtained by identifying the 2g interior...
Figure 4. An alternative model for the surface Σ, the bounding pair (γ,...
Figure 5. The curve f • a 1 for f = T γ .T −1 δ . The three points...
Action of subgroups of the mapping class group on Heisenberg homologies
Preprint
Full-text available
  • Jun 2023
In previous work we constructed twisted representations of mapping class groups of surfaces, depending on a choice of representation $V$ of the Heisenberg group $\mathcal{H}$. For certain $V$ we were able to untwist these mapping class group representations. Here, we study the restrictions of our twisted representations to different subgroups of th...
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Figure 1: Model for Σ g ; the index 2 handle is attached along δ with...
Weakly framed surface configurations, Heisenberg homology, and mapping class group action
Article
Full-text available
  • Oct 2022
We obtain representations of the \(\texttt{f}\)-based mapping class group of oriented punctured surfaces from an action of mapping classes on Heisenberg homologies of a circle bundle over surface configurations.
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Weakly framed surface configurations, Heisenberg homology and Mapping Class Group action
Preprint
Full-text available
  • Jun 2022
We obtain representations of the f-based Mapping Class Group of oriented punctured surfaces from an action of mapping classes on Heisenberg homologies of a circle bundle over surface configurations.
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Figure 1: The sign of a point on γ that is tangent to X.
Figure 2: The surface Σ is obtained by identifying the 2g interior...
Figure 2: The sign of a point on γ that is tangent to X.
Figure 3: An alternative model for the surface Σ, the bounding pair (γ,...
+9 Figure 3: The surface Σ is obtained by identifying the 2g interior...
Heisenberg homology on surface configurations
Preprint
Full-text available
  • Sep 2021
We study the action of the mapping class group of $\Sigma = \Sigma_{g,1}$ on the homology of configuration spaces with coefficients twisted by the discrete Heisenberg group $\mathcal{H} = \mathcal{H}(\Sigma)$, or more generally by any representation $V$ of $\mathcal{H}$. In general, this is a twisted representation of the mapping class group $\math...
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