Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Invariants of smooth 4-manifolds via Vassiliev theory   The above named paper has been withdrawn.
  A colleague has observed a gap in the proof of isotopy invariance, which can
be repaired by reducing the coefficients (which lie in (1/6)Z) of the
antisymmetric kanji with chords incident with more than one component modulo
8Z.
  An analogous issue arises in considering the effect of orientation reversal
in the proof of handle-slide invariance, which can be repaired by reducing the
coefficients of all of the antisymmetric kanji modulo 4Z.
  While an invariant of smooth 4-manifolds is obtained by the repaired
construction, the corrected construction does not distinguish the smooth
structures on the non-diffeomorphic but homeomorphic pairs of Gompf nuclei.
  A more subtle approach to restoring invariance, using an action of an
extension of Gl(n,Z), rather than quotienting the coefficient, has been
examined, but will also not restore the ability of the invariant constructed to
distinguish the Gompf nuclei.

8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc