Geodesic
The surgery exact triangle in Pin(2)–monopole Floer homology
Lin, Francesco1
1 Department of Mathematics, Princeton University, Princeton, NJ, United States
Algebraic and Geometric Topology, Tome 17 (2017) no. 5, pp. 2915-2960

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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 Manolescu correction terms of the manifolds obtained by (±1)–surgery on alternating knots with Arf invariant 1.

DOI : 10.2140/agt.2017.17.2915
Classification : 57M27
Keywords: Seiberg–Witten, monopoles, surgery, correction terms

Lin, Francesco 1

1 Department of Mathematics, Princeton University, Princeton, NJ, United States 
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Lin, Francesco. The surgery exact triangle in Pin(2)–monopole Floer homology. Algebraic and Geometric Topology, Tome 17 (2017) no. 5, pp. 2915-2960. doi: 10.2140/agt.2017.17.2915

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