The geometric genus, the casson invariant conjecture and splice type singularities
Keyword(s):
AbstractThis is a survey of some results on splice-quotient singularities which are a natural and broad generalization of quasihomogeneous surface singularities with rational homology sphere links. From its topology (i.e., the link or the resolution graph), we can write down the “leading terms” of equations of a splice-quotient singularity, and compute the geometric genus. Applying the formula for the geometric genus, we can verify the Casson invariant conjecture for splice-quotient singularities.
Keyword(s):
2008 ◽
Vol 17
(10)
◽
pp. 1199-1221
◽
2007 ◽
Vol 142
(2)
◽
pp. 259-268
◽
2005 ◽
Vol 92
(1)
◽
pp. 99-138
◽
2011 ◽
Vol 48
(1)
◽
pp. 135-144
2004 ◽
Vol 06
(06)
◽
pp. 833-866
◽