Sutured ECH and Contact 2-Handles
Yen-Lin Chen
TL;DR
This paper establishes well-defined maps on sutured embedded contact homology (ECH) induced by contact 2-handle attachments and proves the functoriality of the sutured ECH contact class under these maps.
Contribution
It introduces a rigorous framework for contact 2-handle attachments in sutured ECH and demonstrates the functorial behavior of the contact class.
Findings
Maps on sutured ECH are well-defined for contact 2-handle attachments.
The sutured ECH contact class is functorial under these maps.
Provides foundational tools for studying contact topology via sutured ECH.
Abstract
We show that there are well-defined maps on sutured ECH induced by contact 2-handle attachments and that the sutured ECH contact class is functorial under such maps.
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Taxonomy
TopicsAtrial Fibrillation Management and Outcomes · Cardiac Arrhythmias and Treatments · Shoulder Injury and Treatment