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October 20, 2025Open Access

On the topology of BΓₙC and its application to complex structures on open manifolds

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Authors

FSFilip Samuelsen

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Implication

The analysis extends complex structures in manifolds up to dimension 10, suggesting new implications in topology.

Key Points

  • This research extends the known results to open manifolds in dimensions 8 and 10, pushing the boundaries of existing theories.
  • The proof leverages Gromov's h-principle, adapting techniques from the study of foliations to the holomorphic context.
  • Despite advancements, the conjecture remains unresolved for manifolds in dimensions 12 and higher, highlighting ongoing challenges.
  • The findings support the versatility of complex structures in various topological dimensions, enriching the field's understanding.

Cite This Study

Filip Samuelsen (2025) studied this question.

synapsesocial.com/papers/68f5fcce8d54a28a75cf1d0dhttps://doi.org/10.48550/arxiv.2504.10610
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