The surgery exact triangle in Pin(2)-monopole Floer homology
Geometric Topology
2018-03-16 v2
Abstract
We prove the existence of an exact triangle for the Pin(2)-monopole Floer homology groups of three manifolds related by specific Dehn surgeries on a given knot. Unlike the counterpart in usual monopole Floer homology, only two of the three maps are those induced by the corresponding elementary cobordism. We use this triangle to describe the invariants associated to homology spheres obtained by (\pm1)-surgery on alternating knots.
Keywords
Cite
@article{arxiv.1504.01993,
title = {The surgery exact triangle in Pin(2)-monopole Floer homology},
author = {Francesco Lin},
journal= {arXiv preprint arXiv:1504.01993},
year = {2018}
}
Comments
37 pages, 4 figures. A few gaps were corrected, exposition slightly changed. Comments are welcome