In this task you will be given a text passage from a trivia quiz. You should choose the category this question belongs to from these categories: History, Science, Social Science, Fine Arts, Literature. You can only choose one category, so if in doubt, please choose the closest match.

Input: Consider Input: Loewner's inequality relates the area and systole of Riemannian metrics on one of these spaces. Arnold's cat map is a chaotic mapping from one of these spaces to itself. This name is given to connected, compact, abelian Lie subgroups, and any compact Lie group has a maximal one. Dupin cyclides are geometric inversions of these objects, and two Villarceau circles can be created by cutting one of these objects diagonally. N-dimensional versions of these objects, which have genus one, are homeomorphic to the Cartesian product of N circles. Other than the Klein bottle, these are the only closed, compact surfaces with an Euler characteristic of zero. They can be created by revolving a circle around an axis coplanar to the circle's diameter. For 10 points, name these mathematical objects that often look like doughnuts.

Output: Science

Input: Consider Input: In one novel by this author, the title character dances with Barbra Flick while choosing not to pursue the tanner Emil Rothfuss's wife. This author of Knulp wrote about Joseph Knecht's pursuit of the role of Magister Ludi in the title intellectual game, and described a journey undertaken with Govinda in search for the Buddha in another novel. This author of The Glass Bead Game wrote about the saxophonist Pablo bringing Hermine to the Magic Theatre, causing Harry Haller to stab her. For 10 points, name this German author of Siddhartha and Steppenwolf.

Output: Literature

Input: Consider Input: A serpent, whose eyes open and fix on us in every sky is described in the opening of this authors poem The Auroras of Autumn, while Crispin is the title character of his poem The Comedian as the Letter C. He asks Ramon Fernandez Why, when the singing ended in his The Idea of Order at Key West, while other poems describe the only moving thing among twenty snowy mountains and the roller of big cigars. For 10 points, name this American poet whose poems include Thirteen Ways of Looking at a Blackbird and The Emperor of Ice Cream.
Output: Literature