Results 11 to 20 of about 205,497 (296)
Morse Theory in Field Theory [PDF]
, 2012 We describe correlations functions of topological quantum mechanics (TQM) in terms of Morse theory. We review the basics of topological field theories and discuss geometric and algebraic interpretations of TQM.
Koroteev, P., Zayakin, A. V.
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Morse theory of harmonic forms [PDF]
Topology, 1997 We consider the problem of whether it is possible to improve the Novikov inequalities for closed 1-forms, or any other inequalities of a similar nature, if we assume, additionally, that the given 1-form is harmonic with respect to some Riemannian metric.
Farber, Michael +2 more
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Some remarks on Morse theory for posets, homological Morse theory and finite manifolds [PDF]
Topology and its Applications, 2012 We introduce a version of discrete Morse theory for posets. This theory studies the topology of the order complexes K(X) of h-regular posets X from the critical points of admissible matchings on X. Our approach is related to R.
Minian, Elias Gabriel
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Morse Theory Indomitable [PDF]
Publications mathématiques de l'IHÉS, 1989 Raoul Bott
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Morse theory on Banach manifolds [PDF]
Bulletin of the American Mathematical Society, 1970 AbstractLet ƒ be a C2 function on a C2 Banach manifold. A critical point x of ƒ is said to be weakly nondegenerate if there exists a neighborhood U of x and a hyperbolic linear isomorphism Lx: Tx(M) → Tx(M) such that in the coordinate system of U, dƒx + v(Lxv) > 0 if v ≠ 0.
Karen Uhlenbeck
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The topological particle and Morse theory [PDF]
Classical and Quantum Gravity, 2000 Canonical BRST quantization of the topological particle defined by a Morse function h is described. Stochastic calculus, using Brownian paths which implement the WKB method in a new way providing rigorous tunnelling results even in curved space, is used to give an explicit and simple expression for the matrix elements of the evolution operator for the ...
Alice Rogers
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Morse Theory without Non-Degeneracy [PDF]
The Quarterly Journal of Mathematics, 2021 AbstractWe describe an extension of Morse theory to smooth functions on compact Riemannian manifolds, without any non-degeneracy assumptions except that the critical locus must have only finitely many connected components.
Kirwan, F, Penington, G
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Asian Journal of Mathematics, 2005 In this paper we define and study the moduli space of metric-graph-flows in a manifold M. This is a space of smooth maps from a finite graph to M, which, when restricted to each edge, is a gradient flow line of a smooth (and generically Morse) function on M.
Ralph L. Cohen, Paul Norbury
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A Little Microlocal Morse Theory [PDF]
Mathematische Annalen, 2000 18 ...
David B. Massey
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