PreprintCC BY 4.0arXiv
Khovanov Homology in Connected Sums, Properties and Applications
Abstract
We extend the definition of Khovanov-Lee homology to links in connected sums of interval bundles over surfaces and S1× S2's, and construct a Rasmussen-type invariant for links in these manifolds. As an application, we prove an inequality relating the Rasmussen-type invariant to the genus of surfaces with boundary in four-manifolds that are boundary connect sums of D2× S2, ℂ P2∖ B4, and DTS2.
Related
BibTeX
@misc{du2026khovanov,
title = {{Khovanov Homology in Connected Sums, Properties and Applications}},
author = {Alan Du},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2609.38793},
eprint = {2609.38793},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.38793},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Khovanov Homology in Connected Sums, Properties and Applications
AU - Alan Du
PY - 2026
DA - 2026/10/04
PB - arXiv
DO - 10.48550/arxiv.2609.38793
UR - https://arxiv.org/abs/2609.38793
AB - We extend the definition of Khovanov-Lee homology to links in connected sums of interval bundles over surfaces and S^1× S^2's, and construct a Rasmussen-type invariant for links in these manifolds. As an application, we prove an inequality relating the Rasmussen-type invariant to the genus of surfaces with boundary in four-manifolds that are boundary connect sums of D^2× S^2, ℂ P^2∖ B^4, and DTS^2.
ER -