TY - JOUR
T1 - Stable cohomotopy Seiberg-Witten invariants of connected sums of four-manifolds with positive first Betti number, I
T2 - Non-vanishing theorem
AU - Ishida, Masashi
AU - Sasahira, Hirofumi
PY - 2015/6/16
Y1 - 2015/6/16
N2 - We shall prove a new non-vanishing theorem for the stable cohomotopy Seiberg-Witten invariant [S. Bauer and M. Furuta, Stable cohomotopy refinement of Seiberg-Witten invariants: I, Invent. Math.155 (2004) 1-19; S. Bauer, Stable cohomotopy refinement of Seiberg-Witten invariants: II, Invent. Math.155 (2004) 21-40.] of connected sums of 4-manifolds with positive first Betti number.
AB - We shall prove a new non-vanishing theorem for the stable cohomotopy Seiberg-Witten invariant [S. Bauer and M. Furuta, Stable cohomotopy refinement of Seiberg-Witten invariants: I, Invent. Math.155 (2004) 1-19; S. Bauer, Stable cohomotopy refinement of Seiberg-Witten invariants: II, Invent. Math.155 (2004) 21-40.] of connected sums of 4-manifolds with positive first Betti number.
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U2 - 10.1142/S0129167X15410049
DO - 10.1142/S0129167X15410049
M3 - Article
AN - SCOPUS:84931003656
VL - 26
JO - International Journal of Mathematics
JF - International Journal of Mathematics
SN - 0129-167X
IS - 6
M1 - 1541004
ER -