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Topology of cell complexes and manifolds, classification of manifolds (e.g. smoothing, surgery), low dimensional topology (e.g. knot theory, invariants of 4-manifolds), embedding theory, combinatorial and PL topology, geometric group theory, infinite dimensional topology (e.g. Hilbert cube manifolds, theory of retracts).

11 votes
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295 views

Computing $h^1$ of dual of graph of central fibre of the degeneration of Kaehler-Einstein ma...

Consider a Kaehler degeneration $\mathcal X\to \Delta$ of smooth manifolds: Here $\Delta$ is the unit disc, $\pi$ a proper flat map, smooth over $\Delta^∗=\Delta−\{0\}$. The general fibres are $X_t=\ …
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9 votes
0 answers
291 views

Coarse moduli space of compact polarized Fano Kaehler-Einstein manifolds

Let $\mathcal X\to \mathcal S$, be a family of polarized Kaehler manifolds with $\omega_s= Ric(\omega_s)$(i.e., fibers are Fano Kahler-Einstein manifolds). Then $dim Aut(X_s)=Const$.? Is there any co …
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