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Article: Chern-Simons functions on toric Calabi-Yau threefolds and Donaldson-Thomas theory
Title | Chern-Simons functions on toric Calabi-Yau threefolds and Donaldson-Thomas theory |
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Authors | |
Keywords | algebraic geometry derived category Donaldson–Thomas theory |
Issue Date | 2015 |
Publisher | Mathematical Sciences Publishers. The Journal's web site is located at http://msp.org/pjm/ |
Citation | Pacific Journal of Mathematics, 2015, v. 277 n. 1, p. 119-147 How to Cite? |
Abstract | We use the notion of strong exceptional collections to give a construction of the global Chern–Simons functions for toric Calabi–Yau stacks of dimension three. Moduli spaces of sheaves on such stacks can be identified with critical loci of these functions. We give two applications of these functions. First, we prove Joyce’s integrality conjecture of generalized DT invariants on local surfaces. Second, we prove a dimension reduction formula for virtual motives, which leads to a recursion formula for motivic Donaldson–Thomas invariants. |
Persistent Identifier | http://hdl.handle.net/10722/218753 |
ISSN | 2023 Impact Factor: 0.7 2023 SCImago Journal Rankings: 0.674 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Hua, Z | - |
dc.date.accessioned | 2015-09-18T06:52:29Z | - |
dc.date.available | 2015-09-18T06:52:29Z | - |
dc.date.issued | 2015 | - |
dc.identifier.citation | Pacific Journal of Mathematics, 2015, v. 277 n. 1, p. 119-147 | - |
dc.identifier.issn | 0030-8730 | - |
dc.identifier.uri | http://hdl.handle.net/10722/218753 | - |
dc.description.abstract | We use the notion of strong exceptional collections to give a construction of the global Chern–Simons functions for toric Calabi–Yau stacks of dimension three. Moduli spaces of sheaves on such stacks can be identified with critical loci of these functions. We give two applications of these functions. First, we prove Joyce’s integrality conjecture of generalized DT invariants on local surfaces. Second, we prove a dimension reduction formula for virtual motives, which leads to a recursion formula for motivic Donaldson–Thomas invariants. | - |
dc.language | eng | - |
dc.publisher | Mathematical Sciences Publishers. The Journal's web site is located at http://msp.org/pjm/ | - |
dc.relation.ispartof | Pacific Journal of Mathematics | - |
dc.rights | ©2015 Mathematical Sciences Publishers. First published in Pacific Journal of Mathematics in Vol. 277 (2015), No. 1, published by Mathematical Sciences Publishers | - |
dc.subject | algebraic geometry | - |
dc.subject | derived category | - |
dc.subject | Donaldson–Thomas theory | - |
dc.title | Chern-Simons functions on toric Calabi-Yau threefolds and Donaldson-Thomas theory | - |
dc.type | Article | - |
dc.identifier.email | Hua, Z: huazheng@hku.hk | - |
dc.identifier.authority | Hua, Z=rp01790 | - |
dc.description.nature | published_or_final_version | - |
dc.identifier.doi | 10.2140/pjm.2015.277.119 | - |
dc.identifier.scopus | eid_2-s2.0-84941312851 | - |
dc.identifier.hkuros | 251117 | - |
dc.identifier.volume | 277 | - |
dc.identifier.issue | 1 | - |
dc.identifier.spage | 119 | - |
dc.identifier.epage | 147 | - |
dc.identifier.isi | WOS:000362279300005 | - |
dc.publisher.place | United States | - |
dc.identifier.issnl | 0030-8730 | - |