Volume: 20, Issue: 5(2009)
pp. 573-604 DOI: 10.1142/S0129167X09005455
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Full Text (PDF, 444KB)
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| Title: |
ORIENTABILITY AND REAL SEIBERG–WITTEN INVARIANTS |
| Author(s): |
GANG TIAN
Department of Mathematics, Princeton University, Princeton, NJ 08544, USASHUGUANG WANG
Department of Mathematics, University of Missouri, Columbia, MO 65211, USA
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| History: |
Received 8 December 2007
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| Abstract: |
We investigate the Seiberg–Witten theory in the presence of real structures. Certain conditions are obtained so that integer-valued real Seiberg–Witten invariants can be defined. In general, we study properties of the real Seiberg–Witten projection map from the point of view of Fredholm map degrees. |
| Keywords: |
Lifted real structure; real Seiberg–Witten theory; orientability of moduli space; real invariant; real projection map
AMSC numbers:
57R57, 53C07, 14P25
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