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TOPOLOGICAL CLASSIFICATION OF CIRCLE-VALUED SIMPLE MORSE-BOTT FUNCTIONS
(Worldwide Center Mathematics, Llc, 2018-01-01)
In this work, we investigate the classification of Morse-Bott functions from S-2 to S-1, up to topological conjugacy. We give a complete topological invariant of simple Morse-Bott functions f : S-2 -> S-1. The invariant ...
Singular levels and topological invariants of Morse–Bott foliations on non-orientable surfaces
(2018-03-01)
We investigate the classification of closed curves and eight curves of saddle points defined on non-orientable closed surfaces, up to an ambient homeomorphism. The classification obtained here is applied to Morse–Bott ...
Possible universal quantum algorithms for generalized Turaev-Viro invariants
(SPIE-INT SOC OPTICAL ENGINEERING, 2011-01-01)
An emergent trend in quantum computation is the topological quantum computation (TQC). Briefly, TQC results from the application of quantum computation with the aim to solve the problems of quantum topology such as topological ...
Topological invariants of isolated complete intersection curve singularities
(SPRINGER HEIDELBERG, 2009)
In this paper we present some formulae for topological invariants of projective complete intersection curves with isolated singularities in terms of the Milnor number, the Euler characteristic and the topological genus. ...
Gauge invariance for the massive axion
(Facultad Experimental de Ciencias de la Universidad del Zulia, 2011)
The bifurcation set as a topological invariant for one-dimensional dynamics
(IOP, 2021)
For a continuous map on the unit interval or circle, we define the bifurcation set to be the collection of those interval holes whose surviving set is sensitive to arbitrarily small changes of (some of) their endpoints. ...
Reply to Comment on 'Topological invariants, instantons, and the chiral anomaly on spaces with torsion
(2001-01-01)
We respond to the claim by Kreimer and Mielke to the effect that the Nieh-Yan topological invariant cannot contribute to the chiral anomaly in spaces with torsion.