128 citations · 577 across the 43 of their papers we have counts for
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Lectures on the triangulation conjecture
Ciprian Manolescu
We outline the proof that non-triangulable manifolds exist in any dimension greater than four. The arguments involve homology cobordism invariants coming from the Pin(2) symmetry o…
A connected sum formula for involutive Heegaard Floer homology
Kristen Hendricks, Ciprian Manolescu, Ian Zemke
We prove a connected sum formula for involutive Heegaard Floer homology, and use it to study the involutive correction terms of connected sums. In particular, we give an example of…
Floer homology and covering spaces
Tye Lidman, Ciprian Manolescu
We prove a Smith-type inequality for regular covering spaces in monopole Floer homology. Using the monopole Floer / Heegaard Floer correspondence, we deduce that if a 3-manifold Y…
The equivalence of two Seiberg-Witten Floer homologies
Tye Lidman, Ciprian Manolescu
We show that monopole Floer homology (as defined by Kronheimer and Mrowka) is isomorphic to the S^1-equivariant homology of the Seiberg-Witten Floer spectrum constructed by the sec…