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This is a Quantitative Study study.

October 5, 2025Open Access

End Khovanov homology and exotic Lagrangian planes

Key Points

End khovanov homology serves as an invariant for surfaces in 4-space, and identifies exotic lagrangian planes.
The first instances of exotic lagrangian and symplectic planes in 4-space have been established using this new invariant.
This work broadens the understanding of the relationship between khovanov homology and differential topology.
The application of this invariant underscores its potential significance in studying ambient diffeomorphism classes.

Abstract

In this paper, we define the end Khovanov homology, which is an invariant of properly embedded surfaces in 4-space up to ambient diffeomorphism. Moreover, we apply this invariant to detect the first known examples of exotic Lagrangian and symplectic planes in 4-space.

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Cite This Study

Yanmei Teng (Wed,) studied this question.

synapsesocial.com/papers/68e2537cd6d66a53c2474457 https://doi.org/https://doi.org/10.48550/arxiv.2510.01151

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