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pro vyhledávání: '"Tamanoi, Hirotaka"'
Autor:
Tamanoi, Hirotaka
We show that in closed string topology and in open-closed string topology with one $D$-brane, higher genus stable string operations are trivial. This is a consequence of Harer's stability theorem and related stability results on the homology of mappi
Externí odkaz:
http://arxiv.org/abs/0809.4561
Autor:
Tamanoi, Hirotaka
To open-closed cobordism surfaces, open-closed string topology associates topological quantum field theory (TQFT) operations, namely string operations, which depend only on homeomorphism types of surfaces and which satisfy the sewing property. We sho
Externí odkaz:
http://arxiv.org/abs/0803.1038
Autor:
Tamanoi, Hirotaka
Previously, we showed that most of the open-closed topological quantum field theory (TQFT) string operations vanish including all the higher genus TQFT operations, and we described a small list of genus zero open-closed TQFT string operations which c
Externí odkaz:
http://arxiv.org/abs/0803.1041
Autor:
Tamanoi, Hirotaka
Chas and Sullivan proved the existence of a Batalin-Vilkovisky algebra structure in the homology of free loop spaces on closed finite dimensional smooth manifolds using chains and chain homotopies. This algebraic structure involves an associative pro
Externí odkaz:
http://arxiv.org/abs/0706.1277
Autor:
Tamanoi, Hirotaka
Cohen and Godin constructed positive boundary topological quantum field theory (TQFT) structure on the homology of free loop spaces of oriented closed smooth manifolds by associating a certain operations called string operations to orientable surface
Externí odkaz:
http://arxiv.org/abs/0706.1276
Autor:
Tamanoi, Hirotaka
Publikováno v:
Algebr. Geom. Topol. 9 (2009) 569-592
Physicists showed that the generating function of orbifold elliptic genera of symmetric orbifolds can be written as an infinite product. We show that there exists a geometric factorization on space level behind this infinite product formula in much m
Externí odkaz:
http://arxiv.org/abs/0706.0932
Autor:
Tamanoi, Hirotaka
Publikováno v:
Algebr. Geom. Topol. 9 (2009) 1201-1224
Chas and Sullivan showed that the homology of the free loop space LM of an oriented closed smooth finite dimensional manifold M admits the structure of a Batalin-Vilkovisky (BV) algebra equipped with an associative product called the loop product and
Externí odkaz:
http://arxiv.org/abs/0706.0937
Autor:
Tamanoi, Hirotaka
Publikováno v:
International Mathematics Research Notices, Volume 2006, Article ID 97193
We determine the Batalin-Vilkovisky Lie algebra structure for the integral loop homology of special unitary groups and complex Stiefel manifolds. It is shown to coincide with the Poisson algebra structure associated to a certain odd symplectic form o
Externí odkaz:
http://arxiv.org/abs/math/0703404
Autor:
Tamanoi, Hirotaka
Publikováno v:
Algebr. Geom. Topol. 3 (2003) 791-856
Let G be a finite group and let M be a G-manifold. We introduce the concept of generalized orbifold invariants of M/G associated to an arbitrary group Gamma, an arbitrary Gamma-set, and an arbitrary covering space of a connected manifold Sigma whose
Externí odkaz:
http://arxiv.org/abs/math/0309133