6 citations · 7 across the 5 of their papers we have counts for
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Geometric connections and geometric Dirac operators on contact manifolds
Liviu I. Nicolaescu
We construct several natural connections and Dirac type operators on a general metric contact manifold which are more sensitive to the geometric background. In the special case of…
On the space of Fredholm operators
Liviu I. Nicolaescu
We describe two topologies on the space of unbounded Fredholm operators and we explain their K-theoretic relevance. In the process we also prove a very general result concerning th…
Seiberg-Witten theoretic invariants of lens spaces
Liviu I. Nicolaescu
We describe an effective algorithm for computing Seiberg-Witen invariants of lens spaces. We apply it to two problems: (i) to compute the Froyshov invariants of a large family of l…
Eta invariants of Dirac operators on Circle bundles over Riemann surfaces and virtual dimensions of finite energy Seiberg-Witten moduli spaces
Liviu I. Nicolaescu
We compute eta invariants of various Dirac type operators on circle bundles over Riemann surfaces via two approaches: an adiabatic approach based on the results of Bismut-Cheeger-D…
On the Cappell-Lee-Miller glueing theorem
Liviu I. Nicolaescu
We formulate a more conceptual interpretation of the Cappell-Lee-Miller glueing/splitting theorem using the new language of asymptotic maps and asymptotic exactness. Additionally,…
Lattice points, Dedekind-Rademacher sums and a conjecture of Kronheimer and Mrowka
Liviu I. Nicolaescu
We express the number of lattice points inside certain simplices via Dedekind-Rademacher sums. As an application, we prove a conjecture of Kronheimer and Mrowka in the special case…