Seiberg-Witten invariants and surface singularities III. Splicings and cyclic covers
| dc.creator | Nemethi, Andras | |
| dc.creator | Nicolaescu, Liviu I. | |
| dc.date | 2002-07-02 | |
| dc.date.accessioned | 2026-07-07T04:49:29Z | |
| dc.date.available | 2026-07-07T04:49:29Z | |
| dc.description | We verify the conjecture formulated in math.AG/0111298 for suspension singularities of type $g(x,y,z)= f(x,y)+z^n$, where $f$ is an irreducible plane curve singularity. More precisely, we prove that the modified Seiberg-Witten invariant of the link $M$ of $g$, associated with the canonical $spin^c$ structure, equals $-σ(F)/8$, where $σ(F)$ is the signature of the Milnor fiber of $g$. In order to do this, we prove general splicing formulae for the Casson-Walker invariant and for the sign refined Reidemeister-Turaev torsion (in particular, for the modified Seiberg-Witten invariant too). These provide results for some cyclic covers as well. As a by-product, we compute all the relevant invariants of $M$ in terms of the Newton pairs of $f$ and the integer $n$. | |
| dc.identifier | https://arxiv.org/abs/math/0207018 | |
| dc.identifier | http://arxiv.org/abs/math/0207018 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64441 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Geometric Topology | |
| dc.subject | 14B05, 14J17, 32S25, 57M27, 57R57 | |
| dc.title | Seiberg-Witten invariants and surface singularities III. Splicings and cyclic covers | |
| dc.type | text |