127 citations · 476 across the 24 of their papers we have counts for
3 papers · 1 filter
An index theorem for end-periodic operators
Tomasz Mrowka, Daniel Ruberman, Nikolai Saveliev
We extend the Atiyah, Patodi, and Singer index theorem for first order differential operators from the context of manifolds with cylindrical ends to manifolds with periodic ends. T…
Legendrian knots and monopoles
Tomasz S Mrowka, Yann Rollin
We prove a generalization of Bennequin's inequality for Legendrian knots in a 3-dimensional contact manifold (Y,xi), under the assumption that Y is the boundary of a 4-dimensional…
PU(2) monopoles and a conjecture of Marino, Moore, and Peradze
Paul M. N. Feehan, Peter B. Kronheimer, Thomas G. Leness +1
In this article we show that some of the recent results of Marino, Moore, and Peradze (math.DG/9812042, hep-th/9812055) -- in particular their conjecture that all closed, smooth fo…