Mod 2 instanton homology and 4-manifolds with boundary
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866914725411946496 |
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| author | Frøyshov, Kim A. |
| author_facet | Frøyshov, Kim A. |
| contents | Using instanton homology with coefficients in $Z/2$ we construct a homomorphism $q_2$ from the homology cobordism group in dimension 3 to the integers which is not a rational linear combination of the instanton $h$--invariant and the Heegaard Floer correction term $d$. If an oriented homology $3$--sphere $Y$ bounds a smooth, compact, negative definite $4$--manifold without $2$--torsion in its homology then $q_2(Y)\ge0$, with strict inequality if the intersection form is non-standard. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_03950 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Mod 2 instanton homology and 4-manifolds with boundary Frøyshov, Kim A. Geometric Topology Differential Geometry Using instanton homology with coefficients in $Z/2$ we construct a homomorphism $q_2$ from the homology cobordism group in dimension 3 to the integers which is not a rational linear combination of the instanton $h$--invariant and the Heegaard Floer correction term $d$. If an oriented homology $3$--sphere $Y$ bounds a smooth, compact, negative definite $4$--manifold without $2$--torsion in its homology then $q_2(Y)\ge0$, with strict inequality if the intersection form is non-standard. |
| title | Mod 2 instanton homology and 4-manifolds with boundary |
| topic | Geometric Topology Differential Geometry |
| url | https://arxiv.org/abs/2307.03950 |