Harry Tamvakis
Papers and Preprints
- Bott-Chern forms and arithmetic intersections,
ps pdf
Enseign. Math. 43 (1997), 34-54.
- Arithmetic intersection theory on flag varieties,
ps pdf
Math. Annalen 314 no. 4 (1999), 641-665.
- Schubert calculus on the arithmetic Grassmannian,
ps pdf
Duke Math. J. 98 no. 3 (1999), 421-443.
- Arakelov theory of the Lagrangian Grassmannian,
ps pdf
J. reine angew. Math. 516 (1999), 207-223.
- Height formulas for homogeneous varieties,
ps pdf
Michigan Math. J. 48 (2000), 593-610.
- Standard conjectures for the arithmetic
Grassmannian G(2,N) and Racah polynomials,
ps pdf
(with Andrew Kresch),
Duke Math. J. 110 no. 2 (2001), 359-376.
- The Hodge star operator on Schubert forms,
ps pdf
(with Klaus Künnemann), Topology
41 no. 5 (2002), 945-960.
- Double Schubert polynomials and
degeneracy loci for the classical groups,
ps pdf
(with Andrew Kresch), Annales Inst.
Fourier 52 no. 6 (2002), 1681-1727.
- Quantum cohomology of the Lagrangian Grassmannian,
ps pdf
(with Andrew Kresch), J. Algebraic
Geometry 12 (2003), 777-810.
- Gromov-Witten invariants on Grassmannians,
ps pdf
(with
Anders S. Buch and Andrew Kresch), J.
Amer. Math. Soc. 16 (2003), 901-915.
- Quantum cohomology of orthogonal Grassmannians,
ps pdf
(with Andrew Kresch), Compositio Math. 140 (2004),
482-500.
- Schubert polynomials and quiver formulas,
ps pdf
(with Anders S. Buch, Andrew Kresch, and Alexander Yong),
Duke Math. J. 122 no. 1 (2004), 125-143.
- Littlewood-Richardson rules for Grassmannians,
ps pdf
(with Anders S. Buch and Andrew Kresch), Adv. in
Math. 185 no. 1 (2004), 80-90.
- The connection between representation
theory and Schubert calculus,
ps pdf
Enseign. Math. 50 (2004), 267-286.
- Gromov-Witten invariants and quantum cohomology of
Grassmannians,
ps pdf
"Topics in Cohomological Studies of Algebraic
Varieties", 271-297,
Trends in Math., Birkhäuser, 2005.
- Quantum cohomology of isotropic Grassmannians,
ps pdf
"Geometric Methods in Algebra and Number
Theory", 311-338,
Progress in Math. 235, Birkhäuser, 2005.
- Topological symmetry groups of graphs embedded in
the 3-sphere, ps
pdf
(with Erica Flapan, Ramin Naimi, and James Pommersheim),
Comment. Math. Helv. 80 (2005), 317-354.
- Grothendieck polynomials and quiver formulas,
ps pdf
(with Anders S. Buch, Andrew Kresch, and Alexander Yong),
American J. Math. 127 (2005), 551-567.
- Topological symmetry groups of complete graphs
in the 3-sphere, ps
pdf
(with Erica Flapan and Ramin Naimi),
J. London Math. Society 73 (2006), 237-251.
- Arakelov theory of even orthogonal Grassmannians,
ps pdf
Comment. Math. Helv. 82 (2007), 455-475.
- Stable Grothendieck polynomials and K-theoretic factor sequences,
ps
pdf
(with Anders S. Buch, Andrew Kresch,
Mark Shimozono,
and Alexander Yong),
Math. Annalen 340 no. 2 (2008), 359-382.
Work in Preparation
- Quantum Pieri rules for isotropic Grassmannians,
(with Anders S. Buch and Andrew Kresch).
- A Giambelli formula for isotropic Grassmannians,
(with Anders S. Buch and Andrew Kresch).
- Schubert polynomials and Arakelov theory of symplectic flag
varieties.
- Grassmannians, two-step flags, and puzzles,
(with Anders S. Buch and Andrew Kresch).
- Topological symmetry groups of graphs in
3-manifolds,
(with Erica Flapan).