TY - JOUR
T1 - Local curves, wild character varieties, and degenerations
AU - Diaconescu, Duiliu Emanuel
N1 - Funding Information:
I am very grateful to Ron Donagi and Tony Pantev for collaboration on the related project [14] and to Philip Boalch, Tamas Hausel, Davesh Maulik and Yan Soibelman for very helpful discussions and comments on the manuscript. During the completion of this work the author was partially supported by NSF grant DMS-1501612
Publisher Copyright:
© International Press of Boston, Inc. 2018.
PY - 2018
Y1 - 2018
N2 - Conjectural results for cohomological invariants of wild character varieties are obtained by counting curves in degenerate Calabi-Yau threefolds. A conjectural formula for E-polynomials is derived from the Gromov-Witten theory of local Calabi-Yau threefolds with normal crossing singularities. A refinement is also conjectured, generalizing existing results of Hausel, Mereb andWong as well as recent joint work of Donagi, Pantev and the author for weighted Poincaré polynomials of wild character varieties.
AB - Conjectural results for cohomological invariants of wild character varieties are obtained by counting curves in degenerate Calabi-Yau threefolds. A conjectural formula for E-polynomials is derived from the Gromov-Witten theory of local Calabi-Yau threefolds with normal crossing singularities. A refinement is also conjectured, generalizing existing results of Hausel, Mereb andWong as well as recent joint work of Donagi, Pantev and the author for weighted Poincaré polynomials of wild character varieties.
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U2 - 10.4310/CNTP.2018.v12.n3.a2
DO - 10.4310/CNTP.2018.v12.n3.a2
M3 - Article
AN - SCOPUS:85055457622
SN - 1931-4523
VL - 12
SP - 491
EP - 542
JO - Communications in Number Theory and Physics
JF - Communications in Number Theory and Physics
IS - 3
ER -