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Applying virtual localization to their virtual classes $[\\cal{W}_{g,\\gamma,\\bf{d}}]^{vir}$, polynomial relations among GW and FJRW invariants of Fermat quintics are derived.\n  In this paper, we prove a vanishing of a class of terms in $[(\\cal{W}_{g,\\gamma,\\bf{d}})^{\\mathbb{C}^*}]^{vir}$. This vanishing verifies that in Witten's GLSM only $r$-spin invariants of insertions $2/5$ contribute to the phase transition between GW and FJRW inv"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1708.02902","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-08-09T16:36:36Z","cross_cats_sorted":[],"title_canon_sha256":"086f3e1288edc5f4ded0f9d15bb16c399fef7907d341b82a949d64502485a56c","abstract_canon_sha256":"c079de9691354a27b458839d7d35cb3716499220e97dc2240c2a101c79441ed2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:38:19.163067Z","signature_b64":"6ChSUyta5F3CzK3IFLwFbtAzhMOTDqMdezB/ReYNyb44Gfck7BDAynyHnMu5Jrd8wSs60OGzemGK/E6mjRLCAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f6a05378c0e99db677f08bb8e00444709a0563da5e8ee6006a6b25f6e7130588","last_reissued_at":"2026-05-18T00:38:19.162377Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:38:19.162377Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A vanishing associated with irregular MSP fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Huai-Liang Chang, Jun Li","submitted_at":"2017-08-09T16:36:36Z","abstract_excerpt":"In previous work, Mixed-Spin-P field has been introduced and their moduli space $\\cal{W}_{g,\\gamma,\\bf{d}}$ together with a $\\mathbb{C}^*$ action is constructed. 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