Publications of Hans U. Boden

A. Books

2.

Chern Simons Gauge Theory: 20 Years After, Edited by J. E. Anderson, H. U. Boden, A. Hahn and B. Himpel, AMS/IP Studies in Advanced Mathematics 50, American Mathematical Society & International Press, 2011

1.

Geometry and Topology of Manifolds, Edited by H. U. Boden, I. Hambleton, A. J. Nicas and B. D. Park, Fields Institute Communications 47, American Mathematical Society, 2005

B. Articles


38.
H. U. Boden and M. Chrisman, Virtual concordance and the generalized Alexander polynomial, 2019 preprint
37.
H. U. Boden and A. J. Nicas, Virtual and welded periods of classical knots, 2017 preprint, to appear in Proceedings of Symposia in Pure Mathematics
36.
H. U. Boden, M. Chrisman, and R. Gaudreau, Signature and concordance of virtual knots, 2017 preprint, to appear in Indiana University Mathematics Journal
35.
H. U. Boden, M. Chrisman, and R. Gaudreau, Virtual knot cobordism and bounding the slice genus, Experimental Mathematics, published online February 2, 2018
34.
H. U. Boden, A. J. Nicas, and L. White, Alexander invariants of periodic virtual knots, Dissertationes Mathematicae 530 (2018) 1-59
33.
H. U. Boden and M. Nagel, Concordance group of virtual knots, Proceedings of the American Mathematical Society 145 (2017) 5451-5461
32.
H. U. Boden and C. M. Herald, The SU(2) Casson-Lin invariant of the Hopf link, Pacific Journal of Mathematics 285 (2016) 283-288
31.
H. U. Boden and E. Harper, The SU(N) Casson-Lin invariants for links, Pacific Journal of Mathematics 285 (2016) 257-282
30.
H. U. Boden, R. Gaudreau, E. Harper, A. J. Nicas, and L. White, Virtual knot groups and almost classical knots, Fundamenta Mathematicae 138 (2017) 101-142
29.
H. U. Boden and A. I. Gaudreau, Bridge numbers for virtual and welded knots, Journal of Knot Theory and Its Ramifications 24 (2) (2015) ID:1550008, 15 pp
28.
H. U. Boden and C. L. Curtis, The SL(2, C) Casson invariant for knots and the A^-polynomial, Canadian Journal of Mathematics 68 (2016) 3-23
27.
H. U. Boden, E. Dies, A. I. Gaudreau, A. Gerlings, E. Harper and A. J. Nicas, Alexander invariants for virtual knots, Journal of Knot Theory and Its Ramifications 24 (3) (2015) ID:1550009, 62 pp
26.
H. U. Boden and S. Friedl, Metabelian SL(n, C) representations of knot groups IV: twisted Alexander polynomials, Mathematical Proceedings of the Cambridge Philosophical Society 156 (2014) 81-97
25.
H. U. Boden and S. Friedl, Metabelian SL(n, C) representations of knot groups III: deformations, Quarterly Journal of Mathematics 65 (2014) 817-840
24.
H. U. Boden and C. L. Curtis, The SL(2, C) Casson invariant for Dehn surgeries on two-bridge knots, Algebraic and Geometric Topology 12 (2012) 2095-2126
23.
H. U. Boden, Nontriviality of the M-degree of the A-polynomial, Proceedings of the American Mathematical Society 142 (2014) 2173-2177
22.
H. U. Boden and S. Friedl, Metabelian SL(n, C) representations of knot groups II: fixed points, Pacific Journal of Mathematics 249 (2011) 1-10
21.
H. U. Boden and B. Himpel, Splitting the spectral flow and the SU(3) Casson invariant for spliced sums, Algebraic and Geometric Topology 9 (2009) 865-902
20.
H. U. Boden and S. Friedl, Metabelian SL(n, C) representations of knot groups, Pacific Journal of Mathematics 238 (2008) 7-25.
19.
H. U. Boden and C. L. Curtis, Splicing and the SL(2, C) Casson invariant, Proceedings of the American Mathematical Society 136, 2615-2623 (2008)
18.
H. U. Boden, C. M. Herald and P. Kirk, The Calderon projector for the odd signature operator and spectral flow calculations in 3-dimensional topology, Spectral geometry of manifolds with boundary and decomposition of manifolds, 125-150, Contemporary Mathematics 366, Amer. Math. Soc., Providence, RI, (2005)
17.
H. U. Boden, C. M. Herald and P. Kirk, The integer valued SU(3) Casson invariant for Brieskorn spheres, Journal of Differential Geometry 71 (2005) 23-83
16.
H. U. Boden and C. L. Curtis, The SL(2, C) Casson invariant for Seifert fibered homology spheres and surgeries on twist knots, Journal of Knot Theory and Its Ramifications 15 (2006) 813-837
15.
H. U. Boden, C. M. Herald and P. Kirk, On the integer valued SU(3) Casson invariant, Topology and geometry of manifolds 209-236, Proceedings of Symposia in Pure Mathematics 71, American Mathematical Society, Providence, RI, (2003)
14.
H. U. Boden, C. M. Herald and P. Kirk, An integer valued SU(3) Casson invariant, Mathematical Research Letters 8 (2001) 589-603
13.
H. U. Boden and C. M. Herald, The SU(3) Casson Invariant for 3-Manifolds Split along a 2-Sphere or a 2-Torus, Topology and Its Applications 124 (2002) 187-204
12.
H. U. Boden, C. M. Herald, P. A. Kirk and E. P. Klassen, Gauge theoretic invariants of Dehn surgeries on knots, Geometry & Topology 5 (2001) 143-226
11.
H. U. Boden and C. M. Herald, A connected sum formula for the SU(3) Casson invariant, Journal of Differential Geometry 53 (1999) 443-465
10.
H. U. Boden and A. Nicas, Universal formulae for SU(n) Casson invariants of knots, Transactions of the American Mathematical Society 352 (2000) 3149-3187
9.
H. U. Boden and K. Yokogawa, Rationality of moduli spaces of parabolic bundles, Journal of the London Mathematical Society 59 (1999) 461-478
8.
H. U. Boden and C. M. Herald, The SU(3) Casson invariant for integral homology 3-spheres, Journal of Differential Geometry 50 (1998) 147-206
7.
H. U. Boden, Integrality of the averaged Jones polynomials of algebraically split links, Journal of Knot Theory and Its Ramifications 6 (1997) 303-306
6.
H. U. Boden, Rationality of the moduli space of vector bundles over a smooth curve, Institut des Hautes Etudes Scientifique preprint #95-73
5.
H. U. Boden and K. Yokogawa, Moduli spaces of parabolic Higgs bundles and parabolic K(D) pairs over a smooth curve, I, International Journal of Mathematics 7 (1996) 573-598
4.
H. U. Boden, Invariants of fibred knots from moduli, AMS/IP Studies in Advanced Mathematics vol. 2 1997 (ed. W. Kazez), Proceedings of the 1993 Georgia International Topology Conference
3.
H. U. Boden and Y. Hu, Variations of moduli of parabolic bundles, Mathematische Annalen 301 (1995) 539-559
2.
H. U. Boden, Unitary representations of Brieskorn spheres, Duke Mathematical Journal 75 (1994) 193-220
1.
H. U. Boden, Representations of orbifold groups and parabolic bundles, Commentarii Mathematici Helvetici 66 (1991) 389-447
 

Last modified: Wednesday, March 20, 2019.