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| Dokumentenart: | Artikel |
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| Titel eines Journals oder einer Zeitschrift: | Proceedings of the London Mathematical Society |
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| Verlag: | WILEY |
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| Ort der Veröffentlichung: | HOBOKEN |
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| Band: | 109 |
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| Nummer des Zeitschriftenheftes oder des Kapitels: | 6 |
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| Seitenbereich: | S. 1507-1548 |
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| Datum: | 2014 |
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| Institutionen: | Mathematik |
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| Identifikationsnummer: | | Wert | Typ |
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| 10.1112/plms/pdu030 | DOI |
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| Stichwörter / Keywords: | MODULI SPACES; PU(2) MONOPOLES; GAUGE-THEORY; |
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| Dewey-Dezimal-Klassifikation: | 500 Naturwissenschaften und Mathematik > 510 Mathematik |
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| Status: | Veröffentlicht |
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| Begutachtet: | Ja, diese Version wurde begutachtet |
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| An der Universität Regensburg entstanden: | Ja |
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| Dokumenten-ID: | 60910 |
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Zusammenfassung
Casson-type invariants emerging from Donaldson theory over certain negative-definite four-manifolds were recently suggested by Teleman. These are defined by an algebraic count of points in a zero-dimensional moduli space of flat instantons. Motivated by the cobordism programme of proving Witten's conjecture, we use a moduli space of PU(2) Seiberg-Witten monopoles to exhibit an oriented ...
Zusammenfassung
Casson-type invariants emerging from Donaldson theory over certain negative-definite four-manifolds were recently suggested by Teleman. These are defined by an algebraic count of points in a zero-dimensional moduli space of flat instantons. Motivated by the cobordism programme of proving Witten's conjecture, we use a moduli space of PU(2) Seiberg-Witten monopoles to exhibit an oriented one-dimensional cobordism of the instanton moduli space to the empty space. The Casson-type invariant must therefore vanish.
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