Spaces of embeddings of noncompact manifolds

2017 ◽  
Author(s):  
Assakta khalil ◽  
Abd Ghafur Bin Ahmad
Keyword(s):  
Noncompact Manifolds

scholarly journals WITTEN DEFORMATION FOR NONCOMPACT MANIFOLDS WITH BOUNDED GEOMETRY

2021 ◽  
pp. 1-38
Author(s):  
Xianzhe Dai ◽  
Junrong Yan
Keyword(s):  
Essential Role ◽  
Morse Function ◽  
Noncompact Manifold ◽  
Morse Inequalities ◽  
Bounded Geometry ◽  
Noncompact Manifolds ◽  
Witten Laplacian ◽  
Relative Cohomology ◽  
Witten Deformation ◽  
Small Eigenvalues

Abstract Motivated by the Landau–Ginzburg model, we study the Witten deformation on a noncompact manifold with bounded geometry, together with some tameness condition on the growth of the Morse function f near infinity. We prove that the cohomology of the Witten deformation $d_{Tf}$ acting on the complex of smooth $L^2$ forms is isomorphic to the cohomology of the Thom–Smale complex of f as well as the relative cohomology of a certain pair $(M, U)$ for sufficiently large T. We establish an Agmon estimate for eigenforms of the Witten Laplacian which plays an essential role in identifying these cohomologies via Witten’s instanton complex, defined in terms of eigenspaces of the Witten Laplacian for small eigenvalues. As an application, we obtain the strong Morse inequalities in this setting.

Supersymmetry on noncompact manifolds and complex geometry

1997 ◽  
Vol 85 (1) ◽  
pp. 1605-1618
Author(s):  
N. V. Borisov ◽  
K. N. Il'inskii
Keyword(s):  
Complex Geometry ◽  
Noncompact Manifolds

scholarly journals Noncompact manifolds that are inward tame

2017 ◽  
Vol 288 (1) ◽  
pp. 87-128
Author(s):  
Craig Guilbault ◽  
Frederick Tinsley
Keyword(s):  
Noncompact Manifolds

scholarly journals Infinitely many singular interactions on noncompact manifolds

2015 ◽  
Vol 356 ◽  
pp. 426-437
Author(s):  
Burak Tevfik Kaynak ◽  
O. Teoman Turgut
Keyword(s):  
Noncompact Manifolds ◽  
Singular Interactions
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