Rigidity of ADC contact structures
Sauvik Mukherjee
TL;DR
This paper demonstrates that not all Liouville fillings of ADC contact manifolds share the same integral cohomology, challenging assumptions about their topological invariance.
Contribution
It provides a counterexample showing that Liouville fillings of ADC contact manifolds can have different integral cohomologies, revealing new complexity in contact topology.
Findings
Counterexample of non-isomorphic cohomologies in Liouville fillings
Challenges previous assumptions of cohomological invariance
Highlights complexity in ADC contact structures
Abstract
We show by a counter example that any Liouville filling of a ADC closed contact manifold does not have isomorphic integral cohomologies.
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Taxonomy
TopicsGeometric and Algebraic Topology · Mathematical Dynamics and Fractals · Geometric Analysis and Curvature Flows