scholarly journals Reconstructing confined particles with complex singularities

2021 ◽  
Vol 103 (11) ◽  
Author(s):  
Yui Hayashi ◽  
Kei-Ichi Kondo
Keyword(s):  
Complex Singularities

On the strength of complex singularities in a mass variable

1972 ◽  
Vol 11 (3) ◽  
pp. 665-675 ◽  
Author(s):  
N. S. Craigie ◽  
A. B. Kraemmer ◽  
K. D. Rothe
Keyword(s):  
Complex Singularities

scholarly journals Affine varieties, singularities and the growth rate of wrapped Floer cohomology

2018 ◽  
Vol 10 (03) ◽  
pp. 493-530
Author(s):  
Mark McLean
Keyword(s):  
Growth Rate ◽  
Cotangent Bundle ◽  
Betti Numbers ◽  
Symplectic Manifolds ◽  
Isolated Singularity ◽  
Contact Manifolds ◽  
Floer Cohomology ◽  
Complex Singularities ◽  
Smooth Affine ◽  
Simply Connected

In this paper, we give partial answers to the following questions: Which contact manifolds are contactomorphic to links of isolated complex singularities? Which symplectic manifolds are symplectomorphic to smooth affine varieties? The invariant that we will use to distinguish such manifolds is called the growth rate of wrapped Floer cohomology. Using this invariant we show that if [Formula: see text] is a simply connected manifold whose unit cotangent bundle is contactomorphic to the link of an isolated singularity or whose cotangent bundle is symplectomorphic to a smooth affine variety then M must be rationally elliptic and so it must have certain bounds on its Betti numbers.

scholarly journals Einstein metrics and complex singularities

2004 ◽  
Vol 156 (2) ◽  
pp. 405-443 ◽  
Author(s):  
David M.J. Calderbank ◽  
Michael A. Singer
Keyword(s):  
Einstein Metrics ◽  
Complex Singularities
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