Sectorial descent for wrapped Fukaya categories

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Conflicts of Interest

Identified Weaknesses

Rating Explanation

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Paper Summary

Paperzilla title

Taming the Wild Fukaya Beasts: A New Toolkit

This paper develops new techniques for performing computations within and among wrapped Fukaya categories. Key results include a 'descent' property allowing decomposition of these categories and a proof that they are generated by cocores and linking disks. The authors also present a 'stop removal equals localization' result and a Künneth formula.

Possible Conflicts of Interest

None identified

Identified Weaknesses

Technical complexity

The paper relies on many technical arguments, making it quite difficult to verify the results or replicate the study without extensive prior knowledge.

Limited generalizability

The reliance on specific geometric setups and conditions limits the broader applicability of the results to more general settings.

Rating Explanation

This paper presents a strong contribution to the field of symplectic geometry by developing novel tools for computing in wrapped Fukaya categories. It offers a powerful set of results with the potential to simplify computations and provide new insights into mirror symmetry and categorical structures. While the technical nature may limit immediate accessibility, the work holds considerable value for specialists.

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Topic Hierarchy

Domain:

Physical Sciences

Field:

Mathematics

Subfield:

Mathematical Physics

File Information

Original Title:

Sectorial descent for wrapped Fukaya categories

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