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
N1 - Funding Information:
We would like to express deep gratitude to Mikio Furuta for his warm encouragement. Furthermore, the first author would like to express deep gratitude to Claude LeBrun for his warm encouragement. Some of the main parts of this paper were written during the first author’s stay at State University of New York at Stony Brook in 2006. He would like to express many thanks to Claude LeBrun and the department of Mathematics at SUNY for their hospitality during his stay. It is also pleasure for us to thank the referee for the detailed and valuable comments. The first author is supported in part by Grant-in-Aid for Scientific Research (C) 20540090. The second author is supported in part by Grant-in-Aid for Yang Scientists (B) 25800040.
Publisher Copyright:
© 2015 World Scientific Publishing Company.
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 -