Accurate finite-difference time-domain simulation of anisotropic media by subpixel smoothing AF Oskooi, C Kottke, SG Johnson Optics letters 34 (18), 2778-2780, 2009 | 90 | 2009 |
Perturbation theory for anisotropic dielectric interfaces, and application to subpixel smoothing of discretized numerical methods C Kottke, A Farjadpour, SG Johnson Physical Review E 77 (3), 036611, 2008 | 72 | 2008 |
Generalized blow-up of corners and fiber products C Kottke, R Melrose Transactions of the American Mathematical Society 367 (1), 651-705, 2015 | 45 | 2015 |
A Callias-type index theorem with degenerate potentials C Kottke Communications in Partial Differential Equations 40 (2), 219-264, 2015 | 27* | 2015 |
An index theorem of Callias type for pseudodifferential operators C Kottke Journal of K-Theory 8 (3), 387-417, 2011 | 24 | 2011 |
Partial compactification of monopoles and metric asymptotics C Kottke, M Singer Memoirs of the American Mathematical Society 280 (1383), 1-124, 2022 | 15 | 2022 |
Monopoles and the Sen conjecture: Part I K Fritzsch, C Kottke, M Singer arXiv preprint arXiv:1811.00601, 2018 | 11* | 2018 |
Dimension of monopoles on asymptotically conic 3-manifolds C Kottke Bulletin of the London Mathematical Society 47 (5), 818-834, 2015 | 11 | 2015 |
Equivalence of string and fusion loop-spin structures C Kottke, R Melrose arXiv preprint arXiv:1309.0210, 2013 | 11 | 2013 |
Blow-up in manifolds with generalized corners C Kottke International Mathematics Research Notices 2018 (8), 2375-2415, 2018 | 9 | 2018 |
Functorial compactification of linear spaces C Kottke Proceedings of the American Mathematical Society 147 (9), 4067-4081, 2019 | 8 | 2019 |
Loop-fusion cohomology and transgression C Kottke, R Melrose arXiv preprint arXiv:1309.7674, 2013 | 6 | 2013 |
-Cohomology of quasi-fibered boundary metrics C Kottke, F Rochon Inventiones mathematicae, 1-49, 2024 | 5 | 2024 |
Bigerbes C Kottke, R Melrose Algebraic & Geometric Topology 21 (7), 3335-3399, 2021 | 5 | 2021 |
Products of manifolds with fibered corners C Kottke, F Rochon Annals of Global Analysis and Geometry 64 (2), 9, 2023 | 4 | 2023 |
Low energy limit for the resolvent of some fibered boundary operators C Kottke, F Rochon Communications in Mathematical Physics 390 (1), 231-307, 2022 | 4 | 2022 |
Quasi-fibered boundary pseudodifferential operators C Kottke, F Rochon arXiv preprint arXiv:2103.16650, 2021 | 4 | 2021 |
Index theorems and magnetic monopoles on asymptotically conic manifolds CN Kottke Massachusetts Institute of Technology, 2010 | 3 | 2010 |