Topology of closed one-forms M Farber American Mathematical Soc., 2004 | 167 | 2004 |
Polynomial interpretation of multipole vectors G Katz, J Weeks Physical Review D 70 (6), 063527, 2004 | 57 | 2004 |
How tangents solve algebraic equations, or a remarkable geometry of discriminant varieties G Katz Expositiones Mathematicae 21 (3), 219-261, 2003 | 30 | 2003 |
Traversally generic & versal vector flows: semi-algebraic models of tangency to the boundary G Katz arXiv preprint arXiv:1407.1345, 2014 | 23 | 2014 |
Morse theory of harmonic forms M Farber, G Katz, J Levine Topology 37 (3), 469-483, 1998 | 22 | 1998 |
The stratified spaces of real polynomials & trajectory spaces of traversing Flows G Katz arXiv preprint arXiv:1407.2984, 2014 | 19 | 2014 |
Using simplicial volume to count multi-tangent trajectories of traversing vector fields H Alpert, G Katz Geometriae Dedicata 180, 323-338, 2016 | 18 | 2016 |
Causal holography of traversing flows G Katz Journal of Dynamics and Differential Equations 33, 235-274, 2021 | 17 | 2021 |
Stratified convexity & concavity of gradient flows on manifolds with boundary G Katz arXiv preprint arXiv:1406.6907, 2014 | 17 | 2014 |
Separating topology and number theory in the Atiyah-Singer -signature formula D Berend, G Katz | 17 | 1990 |
Morse theory of gradient flows, concavity and complexity on manifolds with boundary G Katz World Scientific, 2019 | 14 | 2019 |
Convexity of Morse stratifications and gradient spines of 3-manifolds G Katz arXiv preprint math/0611005, 2006 | 14 | 2006 |
Causal holography in application to the inverse scattering problems G Katz arXiv preprint arXiv:1703.08874, 2017 | 12 | 2017 |
Curves in cages: an algebro-geometric zoo G Katz The American Mathematical Monthly 113 (9), 777-791, 2006 | 12 | 2006 |
Local formulae in equivariant bordisms G Katz Topology 31 (4), 713-733, 1992 | 10 | 1992 |
Flows in Flatland: a romance of few dimensions G Katz Arnold Mathematical Journal 3 (2), 281-317, 2017 | 9 | 2017 |
Complexity of shadows and traversing flows in terms of the simplicial volume G Katz Journal of Topology and Analysis 8 (03), 501-543, 2016 | 7 | 2016 |
Harmonic forms and near-minimal singular foliations G Katz Commentarii Mathematici Helvetici 77 (1), 39-77, 2002 | 7 | 2002 |
Localization in equivariant bordisms G Katz Mathematische Zeitschrift 213 (1), 617-645, 1993 | 5 | 1993 |
Witt analogs of the Burnside ring and integrality theorems II G Katz American Journal of Mathematics 109 (4), 591-617, 1987 | 4 | 1987 |