Algebraic & Geometric Topology Volume 21, issue 2 (2021)

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Moduli spaces of Hecke modifications for rational and elliptic curves

David Boozer

Algebraic & Geometric Topology 21 (2021) 543–600

DOI: 10.2140/agt.2021.21.543

Bibliography

1	M Abouzaid, I Smith, Khovanov homology from Floer cohomology, J. Amer. Math. Soc. 32 (2019) 1 MR3867999
2	M F Atiyah, Vector bundles over an elliptic curve, Proc. Lond. Math. Soc. 7 (1957) 414 MR131423
3	B Bakalov, A Kirillov Jr., Lectures on tensor categories and modular functors, 21, Amer. Math. Soc. (2001) MR1797619
4	U N Bhosle, Parabolic vector bundles on curves, Ark. Mat. 27 (1989) 15 MR1004718
5	I Biswas, L Brambila-Paz, P E Newstead, Stability of projective Poincaré and Picard bundles, Bull. Lond. Math. Soc. 41 (2009) 458 MR2506830
6	H U Boden, Y Hu, Variations of moduli of parabolic bundles, Math. Ann. 301 (1995) 539 MR1324526
7	A Grothendieck, Sur la classification des fibrés holomorphes sur la sphère de Riemann, Amer. J. Math. 79 (1957) 121 MR87176
8	J Heinloth, Lectures on the moduli stack of vector bundles on a curve, from: "Affine flag manifolds and principal bundles" (editor A Schmitt), Birkhäuser (2010) 123 MR3013029
9	N Hoffmann, Rationality and Poincaré families for vector bundles with extra structure on a curve, Int. Math. Res. Not. 2007 (2007) MR2337034
10	H T Horton, A symplectic instanton homology via traceless character varieties, preprint (2016) arXiv:1611.09927
11	O Iena, Vector bundles on elliptic curves and factors of automorphy, Rend. Istit. Mat. Univ. Trieste 43 (2011) 61 MR2933124
12	V F R Jones, A polynomial invariant for knots via von Neumann algebras, Bull. Amer. Math. Soc. 12 (1985) 103 MR766964
13	J Kamnitzer, The Beilinson–Drinfeld Grassmannian and symplectic knot homology, from: "Grassmannians, moduli spaces and vector bundles" (editors D A Ellwood, E Previato), Clay Math. Proc. 14, Amer. Math. Soc. (2011) 81 MR2807850
14	A Kapustin, E Witten, Electric-magnetic duality and the geometric Langlands program, Commun. Number Theory Phys. 1 (2007) 1 MR2306566
15	M Khovanov, A categorification of the Jones polynomial, Duke Math. J. 101 (2000) 359 MR1740682
16	P B Kronheimer, T S Mrowka, Khovanov homology is an unknot-detector, Publ. Math. Inst. Hautes Études Sci. 113 (2011) 97 MR2805599
17	P Kronheimer, T Mrowka, Filtrations on instanton homology, Quantum Topol. 5 (2014) 61 MR3176310
18	J Le Potier, Lectures on vector bundles, 54, Cambridge Univ. Press (1997) MR1428426
19	V B Mehta, C S Seshadri, Moduli of vector bundles on curves with parabolic structures, Math. Ann. 248 (1980) 205 MR575939
20	S Mukai, An introduction to invariants and moduli, 81, Cambridge Univ. Press (2003) MR2004218
21	D S Nagaraj, Parabolic bundles and parabolic Higgs bundles, preprint (2017) arXiv:1702.05295
22	F Schaffhauser, Differential geometry of holomorphic vector bundles on a curve, from: "Geometric and topological methods for quantum field theory" (editors A Cardona, I Contreras, A F Reyes-Lega), Cambridge Univ. Press (2013) 39 MR3098085
23	P Seidel, Lectures on four-dimensional Dehn twists, from: "Symplectic 4–manifolds and algebraic surfaces" (editors F Catanese, G Tian), Lecture Notes in Math. 1938, Springer (2008) 231 MR2441414
24	P Seidel, I Smith, A link invariant from the symplectic geometry of nilpotent slices, Duke Math. J. 134 (2006) 453 MR2254624
25	C S Seshadri, Space of unitary vector bundles on a compact Riemann surface, Ann. of Math. 85 (1967) 303 MR233371
26	M Teixidor i Bigas, Vector bundles on curves, preprint (2002)
27	L W Tu, Semistable bundles over an elliptic curve, Adv. Math. 98 (1993) 1 MR1212625
28	N F Vargas, Geometry of the moduli of parabolic bundles on elliptic curves, preprint (2016) arXiv:1611.05417
29	E Witten, Fivebranes and knots, Quantum Topol. 3 (2012) 1 MR2852941
30	E Witten, Khovanov homology and gauge theory, from: "Proceedings of the Freedman Fest" (editors R Kirby, V Krushkal, Z Wang), Geom. Topol. Monogr. 18, Geom. Topol. Publ. (2012) 291 MR3084242
31	E Witten, Two lectures on gauge theory and Khovanov homology, from: "Modern geometry : a celebration of the work of Simon Donaldson" (editors V Muñoz, I Smith, R P Thomas), Proc. Sympos. Pure Math. 99, Amer. Math. Soc. (2018) 393 MR3838889